What is the factor of 84

Write the numbers from 1 to 12 in both the first column and the top row so that this puzzle functions like a multiplication table.

What is the factor of 84

This week’s puzzles and last week’s solutions: 12 Factors 2014-04-07

Factors of 84:

84 is a composite number. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, or 7 x 12. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.

What is the factor of 84

Sometimes 84 is a clue in the FIND THE FACTORS 1 – 12 puzzles. Even though it has other factors, we only use 84 = 7 x 12 in the puzzles.

Sum-Difference Puzzle:

84 has six factor pairs. One of those factor pairs adds up to 25, and another one subtracts to 25. If you can identify those factor pairs, then you can solve this puzzle!

What is the factor of 84

More about the Number 84:

84 is prominent in this cool pattern:

What is the factor of 84

Answer to This Week’s Puzzle:

What is the factor of 84


What is the factor of 84
We have all the information you will ever need about the Factors of 84. We will provide you with the definition of Factors of 84, show you how to find the Factors of 84, give you all the Factors of 84, tell you how many Factors 84 has, and supply you with all the Factor Pairs of 84 to prove that our answer is solved correctly.

Factors of 84 definition

The Factors of 84 are all the integers (positive and negative whole numbers) that you can evenly divide into 84. 84 divided by a Factor of 84 will equal another Factor of 84.
How to find the Factors of 84 Since the Factors of 84 are all the numbers that you can evenly divide into 84, we simply need to divide 84 by all numbers up to 84 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient: 84 ÷ 1 = 8484 ÷ 2 = 4284 ÷ 3 = 2884 ÷ 4 = 2184 ÷ 6 = 1484 ÷ 7 = 1284 ÷ 12 = 784 ÷ 14 = 684 ÷ 21 = 484 ÷ 28 = 384 ÷ 42 = 284 ÷ 84 = 1 The Postive Factors of 84 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 84 in numerical order: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. Factors of 84 include negative numbers. Therefore, all the Positive Factors of 84 can be converted to negative numbers. The list of Negative Factors of 84 are: -1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42, and -84.

How many Factors of 84?

When we counted the Factors of 84 that we listed above, we found that 84 has 12 Positive Factors and 12 Negative Factors. Thus, the total number of Factors of 84 is 24.

Factor Pairs of 84

Factor Pairs of 84 are combinations of two factors that when multiplied together equal 84. Here are all the Positive Factor Pairs of 84 1 × 84 = 842 × 42 = 843 × 28 = 844 × 21 = 846 × 14 = 847 × 12 = 8412 × 7 = 8414 × 6 = 8421 × 4 = 8428 × 3 = 8442 × 2 = 8484 × 1 = 84 Like we said above, Factors of 84 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 84: -1 × -84 = 84-2 × -42 = 84-3 × -28 = 84-4 × -21 = 84-6 × -14 = 84-7 × -12 = 84-12 × -7 = 84-14 × -6 = 84-21 × -4 = 84-28 × -3 = 84-42 × -2 = 84-84 × -1 = 84

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Factors of 85

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So you need to find the factors of 84 do you? In this quick guide we'll describe what the factors of 84 are, how you find them and list out the factor pairs of 84 for you to prove the calculation works. Let's dive in!

Want to quickly learn or show students how to find the factors of 84? Play this very quick and fun video now!

Factors of 84 Definition

When we talk about the factors of 84, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 84. If you were to take 84 and divide it by one of its factors, the answer would be another factor of 84.

Let's look at how to find all of the factors of 84 and list them out.

How to Find the Factors of 84

We just said that a factor is a number that can be divided equally into 84. So the way you find and list all of the factors of 84 is to go through every number up to and including 84 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 84:

  • 84 ÷ 1 = 84
  • 84 ÷ 2 = 42
  • 84 ÷ 3 = 28
  • 84 ÷ 4 = 21
  • 84 ÷ 6 = 14
  • 84 ÷ 7 = 12
  • 84 ÷ 12 = 7
  • 84 ÷ 14 = 6
  • 84 ÷ 21 = 4
  • 84 ÷ 28 = 3
  • 84 ÷ 42 = 2
  • 84 ÷ 84 = 1

All of these factors can be used to divide 84 by and get a whole number. The full list of positive factors for 84 are:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84

Negative Factors of 84

Technically, in math you can also have negative factors of 84. 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 84:

-1, -2, -3, -4, -6, -7, -12, -14, -21, -28, -42, and -84

How Many Factors of 84 Are There?

As we can see from the calculations above there are a total of 12 positive factors for 84 and 12 negative factors for 84 for a total of 24 factors for the number 84.

There are 12 positive factors of 84 and 12 negative factors of 84. Wht are there negative numbers that can be a factor of 84?

Factor Pairs of 84

A factor pair is a combination of two factors which can be multiplied together to equal 84. For 84, all of the possible factor pairs are listed below:

  • 1 x 84 = 84
  • 2 x 42 = 84
  • 3 x 28 = 84
  • 4 x 21 = 84
  • 6 x 14 = 84
  • 7 x 12 = 84

We have also written a guide that goes into a little more detail about the factor pairs for 84 in case you are interested!

Just like before, we can also list out all of the negative factor pairs for 84:

  • -1 x -84 = 84
  • -2 x -42 = 84
  • -3 x -28 = 84
  • -4 x -21 = 84
  • -6 x -14 = 84
  • -7 x -12 = 84

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 84. 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!

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  • "Factors of 84". VisualFractions.com. Accessed on December 10, 2022. http://visualfractions.com/calculator/factors/factors-of-84/.

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Factors of 85