# 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?

### Step-by-Step:

# 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.

### Answer:

The factors of 18 are **1**, **2**, **3**, **6**, **9** and **18**.