Year 7 Factors, Multiples and Primes Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Part A: Factors
1.List all the factors of 58.
Answer: 1, 2, 29, 58
2.List all the factors of 45.
Answer: 1, 3, 5, 9, 15, 45
3.List all the factors of 46.
Answer: 1, 2, 23, 46
4.List all the factors of 54.
Answer: 1, 2, 3, 6, 9, 18, 27, 54
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 10.
Answer: 10, 20, 30, 40, 50
8.Write the first five multiples of 8.
Answer: 8, 16, 24, 32, 40
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 10 and 38.
Answer: 2
- Factors of 10: 1, 2, 5, 10
- Factors of 38: 1, 2, 19, 38
- Highest common factor = 2
10.Find the highest common factor (HCF) of 23 and 40.
Answer: 1
- Factors of 23: 1, 23
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
- Highest common factor = 1
11.Find the lowest common multiple (LCM) of 24 and 40.
Answer: 120
- Multiples of 24: 24, 48, 72, 96…
- Multiples of 40: 40, 80, 120, 160…
- Lowest common multiple = 120
12.Find the lowest common multiple (LCM) of 34 and 37.
Answer: 1258
- Multiples of 34: 34, 68, 102, 136…
- Multiples of 37: 37, 74, 111, 148…
- Lowest common multiple = 1258
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.