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.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.
- 2.Work out how many factors 100 has.
- 3.Work out the highest common factor of 20 and 32.
- 4.Write down a prime number between 30 and 40.
- 5.Write 200 as a product of its prime factors, using index notation.
- 6.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 7.Write 12 as a product of its prime factors.
- 8.Which statement about the number 51 is correct?
- 9.Which of these numbers is a common factor of 18 and 24?
- 10.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 11.Work out how many factors 36 has.
- 12.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.
- 13.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.
- 14.Is 120 divisible by 5? Give a reason for your answer.
- 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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