# How to Find Factors

## Finding Factors

The factors of a number can be found.

## A Simple Example of How to Find Factors

Finding the factors of a number is easy.

Find pairs of numbers that multiply to make that number.

### Question

What are the factors of the number 18?

# 1

1 and the number itself (18) are factors of 18.

1 × 18 = 18

Write 1 and 18 on the outside of a grid. # 2

Divide 18 by 2. Does it divide exactly?

18 ÷ 2 = 9

Yes.

2 and the answer of the division (9) are factors of 18.

2 × 9 = 18

Write 2 and 9 in the grid, just inside the outside entries. # 3

Divide 18 by 3. Does it divide exactly?

18 ÷ 3 = 6

Yes.

3 and the answer of the division (6) are factors of 18.

3 × 6 = 18

Write 3 and 6 in the grid, just inside the previous entries. # 4

Divide 18 by 4. Does it divide exactly?

18 ÷ 4 = 4.5

No. The answer is not a whole number. 4 is not a factor.

# 5

Divide 18 by 5. Does it divide exactly?

18 ÷ 5 = 3.6

No. The answer is not a whole number. 5 is not a factor.

# 6

Divide 18 by 6.

We already know that 6 is a factor of 18, it is already in the grid.

We have found all the factors.