Year 7 Factors, Multiples and Primes Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Part A: Factors
1.List all the factors of 31.
Answer: 1, 31
2.List all the factors of 76.
Answer: 1, 2, 4, 19, 38, 76
3.List all the factors of 66.
Answer: 1, 2, 3, 6, 11, 22, 33, 66
4.List all the factors of 42.
Answer: 1, 2, 3, 6, 7, 14, 21, 42
Part B: Multiples
5.Write the first five multiples of 6.
Answer: 6, 12, 18, 24, 30
6.Write the first five multiples of 3.
Answer: 3, 6, 9, 12, 15
7.Write the first five multiples of 5.
Answer: 5, 10, 15, 20, 25
8.Write the first five multiples of 9.
Answer: 9, 18, 27, 36, 45
Part C: HCF and LCM
9.Find the highest common factor (HCF) of 30 and 16.
Answer: 2
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 16: 1, 2, 4, 8, 16
- Highest common factor = 2
10.Find the lowest common multiple (LCM) of 28 and 28.
Answer: 28
- Multiples of 28: 28, 56, 84, 112…
- Multiples of 28: 28, 56, 84, 112…
- Lowest common multiple = 28
11.Find the lowest common multiple (LCM) of 39 and 21.
Answer: 273
- Multiples of 39: 39, 78, 117, 156…
- Multiples of 21: 21, 42, 63, 84…
- Lowest common multiple = 273
12.Find the lowest common multiple (LCM) of 11 and 23.
Answer: 253
- Multiples of 11: 11, 22, 33, 44…
- Multiples of 23: 23, 46, 69, 92…
- Lowest common multiple = 253
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.