# Factors of 216 | How to Calculate the Factors of 216 | Prime Factorization of 216

All the Positive and Negative Numbers that can divide into 216 The numbers that can divide 216 without remainder are called 216.

Finding factors of the numbers is actually something that we use quite a bit when we add fractions together and when we subtract them when we multiply them will constantly be meddling with these fractions and trying to use these factors to make them simpler or change them.

A factor is a number that divides evenly into another number so literally, it's a number that divides evenly into another number.

Also Check: Factors of 42

## How to Calculate the Factors of 216

Let’s find the Factors of 216

216 ÷ 1= 216

216 ÷ 2 = 108

216 ÷ 3 = 72

216 ÷ 4 = 54

216 ÷ 6 = 36

216 ÷ 8 = 27

216 ÷ 9 = 24

216 ÷ 12 = 18

216 ÷ 18 = 12

216 ÷ 24 = 9

216 ÷ 27 = 8

216 ÷ 36 = 6

216 ÷ 54 = 4

216 ÷ 72 = 3

216 ÷ 108 = 2

216 ÷ 216 = 1

1, 2, 3 ,4, 6,  8, 9, 12,  18, 24, 27, 36, 54, 72, 108, and 216 are the Positive factors of 216 whereas -1- 2, -3 ,-4, -6, -8, -9, -12, -18, -24, -27, -36, -54, -72, -108, and -216 are the Negative Factors of 216.

### Factor Pairs of 216

When we multiplied two factors and result will be 216 then we can say Factors pairs of 216.

1 X 216 = 216

2 X 108 = 216

3 X 72 = 216

4 X 54 = 216

6 X 36= 216

8 X 27= 216

9 X 24= 216

12 X 18 = 216

18 X 12 = 216

24 X 9 = 216

27 X 8 = 216

36 X 6 = 216

54 X 4 = 216

72 X 3 = 216

108 X 2 = 216

216 X 1 = 216

When we put minus in front of every factor we get Negative Factor pairs of 216.

-1 X -216 = 216

-2 X -108 = 216

-3 X -72 = 216

-4 X -54 = 216

-6 X -36= 216

-8 X -27= 216

-9 X -24= 216

-12 X -18 = 216

-18 X -12 = 216

-24 X -9 = 216

-27 X -8 = 216

-36 X -6 = 216

-54 X -4 = 216

-72 X -3 = 216

-108 X -2 = 216

-216 X -1 = 216

Prime Factorization of 216= 2 X 2 X 2 X 3 X 3 X 3 = 216

We need to find all the factors of 216. To do that, all we have to do is write 216 as all possible products of two numbers. We can start off with the number 1. 216 can be written as 1 multiplied by 216. This is the simplest and the most obvious combination. One is always a factor of all numbers. Then we move on to 2. Is 216 divisible by 2? Yes and the product can be written as 2 multiplied by 108. Is 216 divisible by 3? Yes, the product can be written as 3 multiplied by 72.

Then we move on to 4. Is 216 divisible by 4? Yes and the product can be written as 4 multiplied by 54. Is 216 divisible by 5? No it isn't, so we cannot write a product with 5 as one of the numbers. What about 6? Yes, 216 is divisible by 6.

And the product can be written as 6 multiplied by 36. These are the  ways in which we can write 216 as a product of two numbers. The factors are 1, 2, 3 ,4, 6,  8, 9, 12,  18, 24, 27, 36, 54, 72, 108, and 216. How can we define factors then? Well, the factors of a number are basically exact divisors of that number.