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Factor Pairs Exploration

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Factor Pairs Exploration worksheet preview

Factor Pairs Exploration

Factor pairs illustration

🔍 Part 1: Finding Factor Pairs

Remember: A factor pair is two numbers that multiply together to make a product. For example, 3 × 4 = 12, so 3 and 4 are a factor pair of 12.

1. List all the factor pairs of 12. One has been done for you!

1 × 12 = 12     ____ × ____ = 12     ____ × ____ = 12     ____ × ____ = 12

2. List all the factor pairs of 24.

____ × ____ = 24     ____ × ____ = 24     ____ × ____ = 24     ____ × ____ = 24

3. List all the factor pairs of 36.

____ × ____ = 36     ____ × ____ = 36     ____ × ____ = 36

____ × ____ = 36     ____ × ____ = 36

4. Which number has more factor pairs — 18 or 20? Circle your answer, then list the pairs for both below.

18 has more factor pairs

20 has more factor pairs

They have the same number of factor pairs

Factor pairs of 18: ____ × ____    ____ × ____    ____ × ____

Factor pairs of 20: ____ × ____    ____ × ____    ____ × ____    ____ × ____

🟦 Part 2: Draw an Array

Remember: An array is a way to show a factor pair using rows and columns of dots or squares.

Example: 3 × 4 looks like 3 rows of 4 dots.

5. Draw an array to show the factor pair 4 × 6. Use dots or squares in the box below.
6. Draw an array to show a different factor pair of 24. Write the factor pair you chose.

I chose: ____ × ____ = 24

7. True or False? Tick the correct answer.

An array of 5 rows and 8 columns shows the factor pair 5 and 8 of the number 40.

True

False

🧩 Part 3: Match the Factor Pairs

Draw a line to match each number on the left with one of its factor pairs on the right.

16
45
30
48
56
5 × 9
6 × 8
7 × 8
4 × 4
5 × 6
9. Choose any number between 30 and 50. List ALL its factor pairs below and explain how you know you have found them all.

My number is: _______

Factor pairs: ________________________________________________________

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