Factors, Multiples and Primes Worksheets

Year 6 maths worksheets on factors, multiples and prime numbers: 36 questions in three levels (All, Most, Some) with answers. Free PDF.

7-page A4 PDF from the Tiger Shark Education question bank. All: Find factors of a number. Most: Find multiples, and spot composite numbers. Some: Find primes, and common factors and multiples. Each level is two pages of six questions, each with a squared working area, and the last page has every answer, with short working for multi-step questions. Each level is also available as its own 3-page PDF. Example questions from the Some level: Circle all the prime numbers. (15, 4, 14, 3, 11, 7, 18) / Which of these is a common multiple of 5 and 2? (10, 7, 13, 17).

What are factors, multiples and primes? A factor divides into a number exactly (the factors of 12 are 1, 2, 3, 4, 6 and 12). A multiple is in a number’s times table (multiples of 6 are 6, 12, 18…). A prime number has exactly two factors, 1 and itself (2, 3, 5, 7, 11…). Year 6 pupils find common factors and common multiples of two numbers.

Common mistakes and tips: Children frequently confuse factors and multiples, and many think 1 is prime (it is not, because it has only one factor) or that all odd numbers are prime (9 and 15 are not). Listing factors in pairs (1 × 12, 2 × 6, 3 × 4) ensures none are missed. A simple ‘factors fit into, multiples come out of’ phrase helps.

Questions on this topic appear year after year in the KS2 maths SATs. Because each sheet starts with the core skill and builds to test-style problems, it works both for teaching the topic and for spotting gaps during revision.

Teaching ideas: use the All level to check prerequisite knowledge at the start of a lesson, then move children onto Most or Some when they are ready. Squared working space encourages neat written methods. The answer page includes short working for multi-step questions, so pupils can self-mark and see where they went wrong.

Spotting misconceptions: the mistakes children make on this topic are usually consistent, so look for patterns across their answers rather than marking each question in isolation. A short follow-up on the specific misconception, using concrete resources or diagrams, is often more effective than setting more of the same questions.

Use All for children working towards the expected standard, Most for secure Year 5 skills and Some for SATs-standard practice: three entry points to the same lesson. Suits whole-class differentiation, intervention groups, homework and SATs revision, and upper KS2 generally.

Part of a set of 42 Year 6 maths topics.