This worksheet teaches students to find factors and multiples, use divisibility tests for 2, 3, 5, 6 and 10, and solve arranging and packing problems. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- A factor divides a number exactly, with no remainder. The factors of 12 are 1, 2, 3, 4, 6 and 12.
- Factors come in pairs that multiply to the number: 12 = 1 × 12 = 2 × 6 = 3 × 4.
- A multiple is the result of multiplying by a whole number. The multiples of 4 are 4, 8, 12, 16, …
- Divisibility tests: by 2 if the last digit is even; by 5 if it ends in 0 or 5; by 10 if it ends in 0; by 3 if its digit sum is divisible by 3; by 6 if it passes the tests for 2 and 3.
What your child will practise:
- Listing all the factors of a number using factor pairs.
- Listing multiples, common factors and common multiples.
- Using divisibility tests for 2, 3, 5, 6 and 10.
- Writing a number as a product of two or three factors.
- Solving arranging and packing problems with factors.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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