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Factors and Multiples Worksheet

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Factors and Multiples Worksheet worksheet preview

Factors and Multiples Worksheet

🎯 Success Criteria

By the end of this worksheet, I can:

List all factors of a given number

Identify multiples of a number within a range

Find common factors and multiples of two numbers

Use factors and multiples to solve word problems

Explain my thinking using mathematical vocabulary

📚 Part 1: Finding Factors and Multiples

1. List all the factors of 24:
2. List the first 8 multiples of 7:
3. Circle the numbers that are factors of 36:

4

7

9

11

12

18

4. Which of these are multiples of 8? Tick all that apply:

32

45

56

64

72

🔍 Part 2: Common Factors and Multiples

5. Find the common factors of 18 and 30:
6. What is the greatest common factor (GCF) of 16 and 24?

Answer: ________

7. Find the first 3 common multiples of 4 and 6:
8. What is the least common multiple (LCM) of 5 and 8?

Answer: ________

🧩 Part 3: Problem Solving

9. Sarah is arranging 48 books into equal rows. List 3 different ways she could arrange them (using factors of 48):
10. Two buses leave the station at the same time. Bus A returns every 15 minutes, and Bus B returns every 20 minutes. After how many minutes will both buses return to the station at the same time again?

Answer: ________ minutes

11. Extension Activity: Draw a factor tree for 60 to find its prime factors:
12. Explain the difference between factors and multiples using your own words:

💡 Differentiation Support

Need help? Use counters or draw arrays to visualise factors. Use a number chart to help find multiples by skip counting.

Challenge yourself: Try finding the GCF and LCM of three numbers: 12, 18, and 24.

✅ Answer Key

1. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

2. First 8 multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56

3. Factors of 36: 4, 9, 12, 18

4. Multiples of 8: 32, 56, 64

5. Common factors of 18 and 30: 1, 2, 3, 6

6. GCF of 16 and 24: 8

7. First 3 common multiples of 4 and 6: 12, 24, 36

8. LCM of 5 and 8: 40

9. Different ways to arrange 48 books: 1x48, 2x24, 3x16

10. Both buses return at the same time after 60 minutes.

11. Prime factors of 60: 2, 2, 3, 5

12. Factors are numbers that divide evenly into another number, while multiples are the result of multiplying a number by an integer.

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