So you need to find the factors of 9 do you? In this quick guide we'll describe what the factors of 9 are, how you find them and list out the factor pairs of 9 for you to prove the calculation works. Let's dive in! Show
Want to quickly learn or show students how to find the factors of 9? Play this very quick and fun video now! Factors of 9 DefinitionWhen we talk about the factors of 9, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 9. If you were to take 9 and divide it by one of its factors, the answer would be another factor of 9. Let's look at how to find all of the factors of 9 and list them out. How to Find the Factors of 9We just said that a factor is a number that can be divided equally into 9. So the way you find and list all of the factors of 9 is to go through every number up to and including 9 and check which numbers result in an even quotient (which means no decimal place). Doing this by hand for large numbers can be time consuming, but it's relatively easy for a computer program to do it. Our calculator has worked this out for you. Here are all of the factors of 9:
All of these factors can be used to divide 9 by and get a whole number. The full list of positive factors for 9 are: 1, 3, and 9 Negative Factors of 9Technically, in math you can also have negative factors of 9. If you are looking to calculate the factors of a number for homework or a test, most often the teacher or exam will be looking for specifically positive numbers. However, we can just flip the positive numbers into negatives and those negative numbers would also be factors of 9: -1, -3, and -9 How Many Factors of 9 Are There?As we can see from the calculations above there are a total of 3 positive factors for 9 and 3 negative factors for 9 for a total of 6 factors for the number 9. There are 3 positive factors of 9 and 3 negative factors of 9. Wht are there negative numbers that can be a factor of 9? Factor Pairs of 9A factor pair is a combination of two factors which can be multiplied together to equal 9. For 9, all of the possible factor pairs are listed below: We have also written a guide that goes into a little more detail about the factor pairs for 9 in case you are interested! Just like before, we can also list out all of the negative factor pairs for 9: Notice in the negative factor pairs that because we are multiplying a minus with a minus, the result is a positive number. So there you have it. A complete guide to the factors of 9. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like. Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers! Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
Factors CalculatorWant to find the factor for another number? Enter your number below and click calculate. Next Factor CalculationFactors of 10 These are the integers which can be evenly divided into 9; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 9?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 9 as a product of its prime factors. For 9, this result would be: 9 = 3 x 3(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)No! 9 is not a composite number. None of the two factor pairs were the same number. A composite number must be formed as the product of a smaller positive integer. Is 9 a square number?Yes! 9 is a square. Its square root is an integer, specifically 3. How many factors does 9 have?This number has 3 factors: 1, 3, 9More specifically, shown as pairs... (1*9) (3*3) (9*1) What is the greatest common factor of 9 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 9 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -9)To find the factors of -9, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 9 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 9 Page 2These are the integers which can be evenly divided into 92; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 92?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 92 as a product of its prime factors. For 92, this result would be: 92 = 2 x 2 x 23(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 92 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 92 a square number?No! 92 is not a square number. The square root of this number (9.59) is not an integer. How many factors does 92 have?This number has 6 factors: 1, 2, 4, 23, 46, 92More specifically, shown as pairs... (1*92) (2*46) (4*23) (23*4) (46*2) (92*1) What is the greatest common factor of 92 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 92 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -92)To find the factors of -92, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 92 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 92 Page 3These are the integers which can be evenly divided into 93; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 93?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 93 as a product of its prime factors. For 93, this result would be: 93 = 3 x 31(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 93 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 93 a square number?No! 93 is not a square number. The square root of this number (9.64) is not an integer. How many factors does 93 have?This number has 4 factors: 1, 3, 31, 93More specifically, shown as pairs... (1*93) (3*31) (31*3) (93*1) What is the greatest common factor of 93 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 93 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -93)To find the factors of -93, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 93 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 93 Page 4These are the integers which can be evenly divided into 94; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 94?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 94 as a product of its prime factors. For 94, this result would be: 94 = 2 x 47(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 94 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 94 a square number?No! 94 is not a square number. The square root of this number (9.70) is not an integer. How many factors does 94 have?This number has 4 factors: 1, 2, 47, 94More specifically, shown as pairs... (1*94) (2*47) (47*2) (94*1) What is the greatest common factor of 94 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 94 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -94)To find the factors of -94, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 94 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 94 Page 5These are the integers which can be evenly divided into 95; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 95?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 95 as a product of its prime factors. For 95, this result would be: 95 = 5 x 19(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 95 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 95 a square number?No! 95 is not a square number. The square root of this number (9.75) is not an integer. How many factors does 95 have?This number has 4 factors: 1, 5, 19, 95More specifically, shown as pairs... (1*95) (5*19) (19*5) (95*1) What is the greatest common factor of 95 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 95 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -95)To find the factors of -95, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 95 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 95 Page 6These are the integers which can be evenly divided into 96; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 96?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 96 as a product of its prime factors. For 96, this result would be: 96 = 2 x 2 x 2 x 2 x 2 x 3(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 96 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 96 a square number?No! 96 is not a square number. The square root of this number (9.80) is not an integer. How many factors does 96 have?This number has 12 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96More specifically, shown as pairs... (1*96) (2*48) (3*32) (4*24) (6*16) (8*12) (12*8) (16*6) (24*4) (32*3) (48*2) (96*1) What is the greatest common factor of 96 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 96 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -96)To find the factors of -96, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 96 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 96 Page 7These are the integers which can be evenly divided into 97; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 97?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 97 as a product of its prime factors. For 97, this result would be: 97 = 97(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)No! 97 is not a composite number. None of the two factor pairs were the same number. A composite number must be formed as the product of a smaller positive integer. Is 97 a square number?No! 97 is not a square number. The square root of this number (9.85) is not an integer. How many factors does 97 have?This number has 2 factors: 1, 97More specifically, shown as pairs... (1*97) (97*1) What is the greatest common factor of 97 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 97 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -97)To find the factors of -97, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 97 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 97 Page 8These are the integers which can be evenly divided into 98; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 98?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 98 as a product of its prime factors. For 98, this result would be: 98 = 2 x 7 x 7(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 98 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 98 a square number?No! 98 is not a square number. The square root of this number (9.90) is not an integer. How many factors does 98 have?This number has 6 factors: 1, 2, 7, 14, 49, 98More specifically, shown as pairs... (1*98) (2*49) (7*14) (14*7) (49*2) (98*1) What is the greatest common factor of 98 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 98 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -98)To find the factors of -98, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 98 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 98 Page 9These are the integers which can be evenly divided into 99; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers. What is the prime factorization of 99?A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 99 as a product of its prime factors. For 99, this result would be: 99 = 3 x 3 x 11(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)Yes! 99 is a composite number. It is the product of two positive numbers other than 1 and itself. Is 99 a square number?No! 99 is not a square number. The square root of this number (9.95) is not an integer. How many factors does 99 have?This number has 6 factors: 1, 3, 9, 11, 33, 99More specifically, shown as pairs... (1*99) (3*33) (9*11) (11*9) (33*3) (99*1) What is the greatest common factor of 99 and another number?The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1. How can you find the least common mulitiple of 99 and another number?We have a least common multiple calculator here The solution is the lowest common multiple of two numbers. What is a factor treeA factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair. How do you find the factors of negative numbers? (eg. -99)To find the factors of -99, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers) Is 99 a whole number?Yes. What are the divisibility rules?Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation. content: what the factors of 99 |
What is the factor of 9
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