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.
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Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
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- 1.Write 90 as a product of its prime factors.
- 2.Work out the highest common factor of 20 and 32.
- 3.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 4.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 5.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 6.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.
- 7.Work out the highest common factor of 12 and 18.
- 8.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.
- 9.Write down a prime number between 30 and 40.
- 10.Is 120 divisible by 5? Give a reason for your answer.
- 11.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 12.Write 60 as a product of its prime factors, using index notation.
- 13.Write 200 as a product of its prime factors, using index notation.
- 14.Which statement about the number 51 is correct?
- 15.Work out how many factors 100 has.
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