How to find factors of 36?

Here is a guide for you to find the factors of 36 and we shall teach you how to find factors and what do we mean by factors of a particular number. Let us get to know how to form the factors and find the solution to obtaining factors for the number 36.

Basic concepts

First, we need to learn about a few concepts and what we mean when we say a certain number is a factor of 36.

Definition of factors

A number is described as the factor of a number when it is about to completely divide the given greater number. So if we say that we need to find the factors of 36 then we mean that all the numbers that can completely divide 36 are a factor that leaves no remainder.

All the negatives and the positive integers are called the factors of 36 which is a whole number. In other words, we can say that when we divide a number 36 by one of its factors the results will be another factor.

Factors of 36 are 2, 3, 4, 6, 9, 12, 18, and 36

Methods to find out the factors of 36

We already defined a factor which is defined as a digit that can divide the number 36. A factor can never be larger than the original digit which in this case is 36 and hence we need to check with all the numbers until 36 and see which are the numbers that are factors of 36. So let us find out which are the factors of 36 and find out the results.

Here we need to check where the result is an even quotient and thus find out the factors that mean none should have a decimal unit.

Calculation of all the factors of a larger number by mental calculation can be tough but here we have helped you by finding the positive integer factors for the number 36 and below is the given list for the same.

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Hence you can use all these positive factors to divide the number 36 and yield the results in whole numbers.

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Also read: What is 34/40 as a percentage?

What are the negative integers of 36?

In mathematics, you can find out the negative integers of a number as well. When you are appearing for a written exam or finding out factors in your classroom the teacher will be expecting you to find out factors in the positive form but speaking in mathematical terms you can also have the negative integer factors for 36 which can be found by simply making the above factors of 36 in a negative value.

The negative factors of 36: -1, -2, -3, -4, -6, -9, -12, -18, and -36

How many factors are there for 36?

As we found out that there are a total of nine factors of 36 in positive values and a total of nine factors in the negative values, we can say that there are a total of 18 factors which are both positive and negative integers.

Total factors of 36 are 18 (including positive and negative)

What are the factor pairs of 36?

Here we shall be listing the factor pairs of 36 which when multiplied together will give a result of 36.

1 x 36 = 36

2 x 18 = 36

3 x 12 = 36

4 x 9 = 36

6 x 6 = 36

These are the positive pair of factors for the number 36.

Similarly, we can also pair the negative factor pairs of 36 which are as follows.

-1 x -36 = 36

-2 x -18 = 36

-3 x -12 = 36

-4 x -9 = 36

-6 x -6 = 36

The multiplication of a minus value with a minus value results in a positive value hence there is no trouble regarding the signs of the digits.

So here we have listed all the possible factors that are present for 36 and also found out the factor pairs. Similarly, you can find out factors for any other number and with practice, you will be able to handle these sums on your own.

Also read: What is 1/4 as a decimal?