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 28.
Answer: 1, 2, 4, 7, 14, 28
2.List all the factors of 97.
Answer: 1, 97
3.List all the factors of 66.
Answer: 1, 2, 3, 6, 11, 22, 33, 66
4.List all the factors of 45.
Answer: 1, 3, 5, 9, 15, 45
Part B: Multiples
5.Write the first five multiples of 5.
Answer: 5, 10, 15, 20, 25
6.Write the first five multiples of 4.
Answer: 4, 8, 12, 16, 20
7.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
8.Write the first five multiples of 9.
Answer: 9, 18, 27, 36, 45
Part C: HCF and LCM
9.Find the lowest common multiple (LCM) of 8 and 35.
Answer: 280
- Multiples of 8: 8, 16, 24, 32…
- Multiples of 35: 35, 70, 105, 140…
- Lowest common multiple = 280
10.Find the lowest common multiple (LCM) of 8 and 12.
Answer: 24
- Multiples of 8: 8, 16, 24, 32…
- Multiples of 12: 12, 24, 36, 48…
- Lowest common multiple = 24
11.Find the highest common factor (HCF) of 8 and 18.
Answer: 2
- Factors of 8: 1, 2, 4, 8
- Factors of 18: 1, 2, 3, 6, 9, 18
- Highest common factor = 2
12.Find the lowest common multiple (LCM) of 35 and 22.
Answer: 770
- Multiples of 35: 35, 70, 105, 140…
- Multiples of 22: 22, 44, 66, 88…
- Lowest common multiple = 770
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.