Let’s Learn the fascinating world of numbers and explore the process of finding their factors. Have you ever wondered How to Find the Factors of a Number? Whether you’re a student struggling with math homework or simply curious about the inner workings of numbers, this blog is here to help. In addition to our detailed explanation, we have a special tool called the “Factor Finder” that can effortlessly determine the factors of any given number. So, let’s master the art of factor finding.

## How to Find the Factors of a Number

Finding the factors of a number involves determining all the whole numbers that can divide the given number without leaving a remainder. Here’s a step-by-step explanation on how to find the factors of any number:

- Start with the number you want to find the factors of.
- Begin with the smallest possible factor, which is 1.
- Divide the number by the factor and check if it divides evenly without a remainder.
- If there is no remainder, then the factor is a valid factor of the number.
- Write down the factor and the result of the division as a factor pair.
- Increase the factor by 1 and repeat steps 3-5 until you reach the number itself.
- The factors you find will always come in pairs. For example, if 2 is a factor, then the result of dividing the number by 2 will also be a factor.
- Continue the process until you reach the number itself.
- The factors of the number will be all the factor pairs you have written down.

### Example

Let’s find the factors of 36 using the same step-by-step process:

- Start with the number 36.
- The smallest factor is 1.
- Divide 36 by 1: 36 ÷ 1 = 36. No remainder, so 1 is a factor.
- Write down the factor pair: (1, 36).
- Increase the factor by 1: 1 + 1 = 2.
- Divide 36 by 2: 36 ÷ 2 = 18. No remainder, so 2 is a factor.
- Write down the factor pair: (2, 18).
- Increase the factor by 1: 2 + 1 = 3.
- Divide 36 by 3: 36 ÷ 3 = 12. No remainder, so 3 is a factor.
- Write down the factor pair: (3, 12).
- Increase the factor by 1: 3 + 1 = 4.
- Divide 36 by 4: 36 ÷ 4 = 9. No remainder, so 4 is a factor.
- Write down the factor pair: (4, 9).
- Increase the factor by 1: 4 + 1 = 5.
- Since 5 does not divide 36 without a remainder, we move on to the next factor.
- Increase the factor by 1: 5 + 1 = 6.
- Divide 36 by 6: 36 ÷ 6 = 6. No remainder, so 6 is a factor.
- Write down the factor pair: (6, 6).

Now we have found all the factor pairs: (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6). Therefore, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.