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 highest common factor of 20 and 32.
- 2.Work out the highest common factor of 12 and 18.
- 3.Work out the highest common factor of 15 and 25.
- 4.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.
- 5.Write 200 as a product of its prime factors, using index notation.
- 6.Which of these numbers is a common factor of 18 and 24?
- 7.Work out how many factors 36 has.
- 8.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.
- 9.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.
- 10.Work out how many factors 100 has.
- 11.Write down a prime number between 30 and 40.
- 12.Write 90 as a product of its prime factors.
- 13.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.
- 14.Is 120 divisible by 5? Give a reason for your answer.
- 15.Write 60 as a product of its prime factors, using index notation.
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