Year 7 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 2 — Answers
Part A: Factors
1.List all the factors of 53.
Answer: 1, 53
2.List all the factors of 77.
Answer: 1, 7, 11, 77
3.List all the factors of 82.
Answer: 1, 2, 41, 82
4.List all the factors of 76.
Answer: 1, 2, 4, 19, 38, 76
Part B: Multiples
5.Write the first five multiples of 11.
Answer: 11, 22, 33, 44, 55
6.Write the first five multiples of 6.
Answer: 6, 12, 18, 24, 30
7.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
8.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 11 and 25.
Answer: 1
- Factors of 11: 1, 11
- Factors of 25: 1, 5, 25
- Highest common factor = 1
10.Find the lowest common multiple (LCM) of 9 and 31.
Answer: 279
- Multiples of 9: 9, 18, 27, 36…
- Multiples of 31: 31, 62, 93, 124…
- Lowest common multiple = 279
11.Find the highest common factor (HCF) of 8 and 8.
Answer: 8
- Factors of 8: 1, 2, 4, 8
- Factors of 8: 1, 2, 4, 8
- Highest common factor = 8
12.Find the lowest common multiple (LCM) of 9 and 24.
Answer: 72
- Multiples of 9: 9, 18, 27, 36…
- Multiples of 24: 24, 48, 72, 96…
- Lowest common multiple = 72
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.