**Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36**.

Here is complete detailed methods to find the factors of 36.

Actually, Factor is a number which divides any number completely without leaving remainder.

Or simply we can say that if we multiply two whole numbers (positive & negative) and it gives a product. Then the numbers that we multiply, are the factors of the product.

For example, if we multiply 4 to 9, it gives 36. Here 4 and 9 are called positive factors and if we multiply -3 to -12, it gives 36. So -3 and -12 are called negative factors.

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## How to Find The Factors of 36 ?

Since factors of 36 are the numbers, which divides 36 completely without leaving remainder. So here we are going to divide 36 by all numbers up to 36. Let’s see the process –

We have to stop the process, if any number of column ‘B’ appears in column ‘A’ or when any element comes in both columns at same level and this element will consider as a factor.

Here we stop the division when 6 comes in both columns at same level.

Hence, all the factor of 36 in above table are : 1, 2, 3, 4, 6, 9, 12, 18, 36.

Similarly, negative factor of 36 are : -1, -2, -3, -4, -6, -9, -12, -18, -36.

## Number of Factors of 36

The **Number of Factors of 36 is **9. To find the number of factors, we use Division Method.

In our example, as we saw above 36 = 2^{2} x 3^{2} ( This can easily be understand in Prime Factors of 36)

**Number of factors is = (power + 1)(power + 1)(power + 1)………. **

Hence number of **factors of 36 **is = (2 + 1)(2 + 1) = 3 x 3 = 9

and if we consider both positive and negative factors, then

total no. of factors = 9 (positive) + 9 (negative) = 18

I hope, this step-by-step tutorial will be helpful to understand factorization method of 36.

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## FAQ

### What are the factors or divisors of the number 36?

The factors or divisors of the number 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

### What is the total number of factors of the number 36?

The total number of factors of the number 36 is 9.

### What is the sum of all factors of the number 36 including 36?

The sum of all the factors of the number 36 including 36 is 91 (i.e 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91)

### What is the sum of all factors of the number 36 excluding 36?

The sum of all the factors of the number 36 excluding 36 is 55.

[…] I hope, this step-by-step tutorial will be helpful to understand the Prime Factors of 36. […]