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.Write 12 as a product of its prime factors.
- 2.Write 60 as a product of its prime factors, using index notation.
- 3.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 4.Which of these numbers is a common factor of 18 and 24?
- 5.Work out the highest common factor of 15 and 25.
- 6.Write down a prime number between 30 and 40.
- 7.Write 200 as a product of its prime factors, using index notation.
- 8.Work out how many factors 36 has.
- 9.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 10.Write 90 as a product of its prime factors.
- 11.Is 120 divisible by 5? Give a reason for your answer.
- 12.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.
- 13.Work out the lowest common multiple of 4 and 6.
- 14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 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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