Printable · GCSE Foundation · ages 14-16
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
Fifteen questions on "factors, multiples, primes, hcf and lcm" — DfE statement N4. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
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- 1.Work out the lowest common multiple of 4 and 6.
- 2.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 3.Work out how many factors 100 has.
- 4.Work out the highest common factor of 15 and 25.
- 5.Write down a prime number between 30 and 40.
- 6.Work out how many factors 36 has.
- 7.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 8.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 9.Is 120 divisible by 5? Give a reason for your answer.
- 10.Work out the highest common factor of 12 and 18.
- 11.Work out the highest common factor of 20 and 32.
- 12.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 14.Work out the lowest common multiple of 9 and 15.
- 15.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
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