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 50.
Answer: 1, 2, 5, 10, 25, 50
2.List all the factors of 75.
Answer: 1, 3, 5, 15, 25, 75
3.List all the factors of 49.
Answer: 1, 7, 49
4.List all the factors of 46.
Answer: 1, 2, 23, 46
Part B: Multiples
5.Write the first five multiples of 5.
Answer: 5, 10, 15, 20, 25
6.Write the first five multiples of 7.
Answer: 7, 14, 21, 28, 35
7.Write the first five multiples of 12.
Answer: 12, 24, 36, 48, 60
8.Write the first five multiples of 4.
Answer: 4, 8, 12, 16, 20
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 10 and 27.
Answer: 1
- Factors of 10: 1, 2, 5, 10
- Factors of 27: 1, 3, 9, 27
- Highest common factor = 1
10.Find the highest common factor (HCF) of 27 and 26.
Answer: 1
- Factors of 27: 1, 3, 9, 27
- Factors of 26: 1, 2, 13, 26
- Highest common factor = 1
11.Find the highest common factor (HCF) of 25 and 22.
Answer: 1
- Factors of 25: 1, 5, 25
- Factors of 22: 1, 2, 11, 22
- Highest common factor = 1
12.Find the lowest common multiple (LCM) of 14 and 32.
Answer: 224
- Multiples of 14: 14, 28, 42, 56…
- Multiples of 32: 32, 64, 96, 128…
- Lowest common multiple = 224
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.