Factors and Multiples Worksheet

Name:

Date:

Mathematical patterns and arrays illustration

🎯 WALT: We Are Learning To understand and relate factors and multiples

📚 Part 1: Multiple Choice Questions

1. Which of these numbers is a multiple of 4?

2. What are the first three multiples of 6?

6, 12, 18

1, 2, 3

6, 8, 10

2, 3, 6

3. Which numbers are factors of 12? (Choose all that apply)

4. Is 35 a multiple of 7?

Yes, because 7 × 5 = 35

No, because 35 ÷ 7 = 6

Yes, because 35 + 7 = 42

No, because 7 is smaller than 35

✏️ Part 2: Fill in the Blanks and Short Answers

5. Complete the pattern by writing the next three multiples of 8:

8, 16, 24, _____, _____, _____

6. Use skip counting to find if 42 is a multiple of 6. Show your working:

7. Explain the relationship between factors and multiples using the number 15:

8. Create an algorithm (step-by-step instructions) for finding multiples of 9:

Step 1: _________________________________________________

Step 2: _________________________________________________

Step 3: _________________________________________________

🚀 Part 3: Challenge Questions (Extension)

9. Advanced: Which number between 50 and 60 is a multiple of both 3 and 4? Explain your reasoning:

10. Pattern Investigation: Look at the multiples of 5: 5, 10, 15, 20, 25, 30... What pattern do you notice about the last digit? Can you create a rule?

11. Collaborative Challenge: Work with a partner to find all the factor pairs of 24. How many different pairs can you find?

Success Criteria Check: ✓ I can identify multiples of numbers up to 10 ✓ I can explain the relationship between factors and multiples ✓ I can use multiplication facts to find multiples quickly ✓ I can check if a number is a multiple of another number up to 10