Maths Library

Factors and Multiples: Year 7 maths

Explore factor pairs, common factors, and multiples of whole numbers. Tasks help pupils find complete factor lists, common multiples, and determine highest common factors or lowest common multiples.

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What this covers

Factors and Multiples is taught in Year 7 (age 11 to 12, KS3) as a main teaching focus. It sits in the Number strand.

Worked example

List all the factors of 28 in ascending order.

  1. Find factor pairs: 1 × 28, 2 × 14, 4 × 7
  2. Combine into an ordered list: 1, 2, 4, 7, 14, 28

Answer: 1, 2, 4, 7, 14, 28

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Find multiples of single-digit numbers up to 50
  2. List all factor pairs of numbers up to 50
  3. List all factor pairs of numbers up to 100
  4. Find common factors or common multiples of pairs of numbers up to 50
  5. Find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of pairs up to 100

Common mistakes

  • Confusing factors and multiples (e.g. stating that 12 is a factor of 4)
  • Missing the number itself or 1 when listing complete factors of an integer

Curriculum links

Indicative matches to National Curriculum for England. Check wording and codes against the official document.

  • Use prime factorisation to find the highest common factor and lowest common multiple of sets of numbers.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Factors and Multiples

Year 7 maths

Qs
6
Marks
18
NameDateScore / 18
1.
Write the first five multiples of 5.
[3]
2.
List all the factors of 60.
[3]
3.
List all the factors of 96.
[3]
4.
Write the first five multiples of 4.
[3]
5.
List all the factors of 90.
[3]
6.
List all the factors of 60.
[3]

Answer key

  1. 5, 10, 15, 20, 25Count up in 5s: 5, 10, 15, 20, 25
  2. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60Find pairs that multiply to 60; Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
  3. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96Find pairs that multiply to 96; Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  4. 4, 8, 12, 16, 20Count up in 4s: 4, 8, 12, 16, 20
  5. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90Find pairs that multiply to 90; Factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  6. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60Find pairs that multiply to 60; Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60