# Factors of 36 | Factor Pairs of 36 | Prime Factorization of 36

Factors are numbers that divide the numbers fully or perfectly without leaving a reminder.

There are two methods for finding factors of any number. First one is division method and the other one is Multiplication Method. In Division method we divide a number by different numbers and check whether the number is fully divisible or not.

If the number is fully divisible without leaving a remainder that means the number by which we are dividing is the factors of the number which is the divided.

## What are Factors of 36?

All the Positive and Negative Numbers that can divide into 36. The numbers that can divide 36 without remainder are called 36. 36 is Composite number because it has more than two factors or it is divisible by more than two numbers

## How to Calculate All Factors of 36

In the division method we divide 36 by different numbers and check whether the number is a factor of 36 or not. If 36is divided fully without leaving a remainder that means the number is a factor of 36.

So let’s start dividing 36 by different numbers and first we divide 36 by 1 and as 1 is the factors of all the numbers  so 1 times 36 is 36 and we get zero remainder and we will get two factors from this division 1 and 36.

36 ÷ 1= 36

36 ÷ 2 = 31

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

1, 2, 3, 4, 6, 9, 12, 18, and 36 are the Positive factors of 36 whereas -1, -2, -3, -4, -6, -9, -12, -18, and -36 are the Negative Factors of 36.

## Factor Pairs of 36

When we multiplied two factors and result will be 36 then we can say Factors pairs of 36.

1 X 36 = 36

2 X 18 = 36

3 X 12 = 36

4 X 9 = 36

6 X 6 = 36

9 X 4 = 36

12 X 3 = 36

18 X 2 = 36

36 X 1 = 36

When we put minus in front of every factor we get Negative Factor pairs of 36.

-1 X- 36 = 36

-2 X -18 = 36

-3 X -12 = 36

-4 X -9 = 36

-6 X -6 = 36

-9 X -4 = 36

-12 X -3 = 36

-18 X -2 = 36

-36 X -1 = 36

Prime Factorization of 36= 2 X 2 X 3 X 3 = 36

We need to find all the factors of 36. One is a Factors of every number so we will write 36 is equal to I time 36 so 1 is a factor of 36. next, we will divide 36 by 2  and 2 is an even number so 2 times 18 is 36 so  we are going to get 0 as reminder and 2 is also factor of 36.

Next we will take 3 and divide 36 by three so here we see that 3 is also factor of 36 because 3 times 12 is 36. We will move to next number which is 4 and we will dive 36 by 4 and 4 times 9 is 36 so 4 is also factor of 36. Nest we will divide 36 by 5 and here we will get a reminder so 5 is not a factor of 36.