Factor Pairs Exploration

Year 5 Maths — Factors and Factor Pairs

Name:

Date:

🔍 Part 1: Find All Factor Pairs

Remember: A factor pair is two numbers that multiply together to make the product. For example, factor pairs of 12 are: (1, 12), (2, 6), (3, 4).

List all factor pairs for each number below. Use your multiplication chart if needed!

1. Find all factor pairs of 24.

( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ )

2. Find all factor pairs of 36.

( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ )

3. Find all factor pairs of 40.

( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ )

4. Find all factor pairs of 56.

( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ )

5. Find all factor pairs of 72.

( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ ) ( ___ , ___ )

6. Which of these numbers is a factor of 90? Tick all that apply.

✏️ Part 2: Multiplication and Division Facts

Use your knowledge of factor pairs to complete these related facts.

7. Complete the family of facts for the factor pair (8, 7):

8 × 7 = _______

7 × 8 = _______

56 ÷ 8 = _______

56 ÷ 7 = _______

8. Complete the family of facts for the factor pair (9, 8):

9 × 8 = _______

8 × 9 = _______

72 ÷ 9 = _______

72 ÷ 8 = _______

9. Is (6, 6) a factor pair of 36? Circle your answer:

Yes, because 6 × 6 = 36

No, a factor pair must have two different numbers

No, 6 is not a factor of 36

💬 Part 3: Explain Your Thinking

Use mathematical language such as factor, factor pair, and product in your answers.

10. Write down one factor pair for the number 90 and explain why it is a factor pair. Use the words factor, product, and pair in your sentence.

My factor pair: ( _______ , _______ )

11. Mia says: "The number 40 has exactly three factor pairs." Do you agree? Explain your reasoning.

12. Challenge: A classroom floor needs to be covered with square tiles. The floor has an area of 72 square metres. List two different ways the tiles could be arranged in rows and columns using factor pairs of 72.