# Factors of 9: Factor Tree, Division Method, Factor Pairs

The Factors are numbers that divide a particular number without any remainder. Additionally, Factors of 9 come in handy for solving problems that involve multiplication, division, and the highest common factors. In this blog, you will learn about the Factors of 9, the Factor Tree, Factor Pairs and the Factors of 9 via the Division Method.

## What are the Factors of 9?

The Factors of 9 are all the numbers that divide evenly into 9 without leaving a remainder. If you divide 9 by a factor, you get a whole number (no decimals) as the result. Moreover, here are the Factors of 9:

• 9 ÷ 1 = 9 (Yes! 1 is always a factor of any number)
• 9 ÷ 3 = 3
• 9 ÷ 9 = 1

Therefore, the Factors of 9 are 1, 3 and 9. You can see that 9 has three factors, which include 1 and itself.

## What is the Factor Tree of 9?

A Factor tree is an illustrated way to show the factors of a number. You can break down 9 into its Prime Factors, and then connect them with branches to show how they multiply together.

Moreover, here is a Factor tree of 9:

9

/ \

3   3

Since 9 is not a Prime number, its factor tree will only have 9 itself at the top. However, that 9 can be further broken down into 3 multiplied by itself (3 x 3).

## Factors of 9 by Division Method

Additionally, you can also find the Factors of 9 by simply trying to divide it by different numbers. Here is how it works:

• Start with 1. It divides into 9 with no remainder, so 1 is a factor.
• Try dividing by 2. This doesn’t go into 9 evenly, so 2 is not a factor.
• Keep trying with increasing numbers until you find another factor. In this case, we find that 3 divides into 9 with no remainder.
• Since 9 is a relatively small number, we can quickly see that there are no more factors beyond 1, 3, and 9 itself.

## Factors of 9 in Pairs

Furthermore, another way to look at Factors is in pairs. Every factor of a number has a corresponding “partner” that you multiply by to get the original number.

For example:

• 1 x 9 = 9
• 3 x 3 = 9

Thus, each Factor of 9 is paired with another factor that, when multiplied by it, results in 9.

I hope this helps! Did you like learning about the Factors of 9? You also learn about the Factors of 1 to 25! Also, keep reading our blogs to learn more about the Basic Concepts of Maths!