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 12 as a product of its prime factors.
- 2.Work out how many factors 36 has.
- 3.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 4.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.
- 5.Work out the lowest common multiple of 9 and 15.
- 6.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.
- 7.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.
- 8.Which of these numbers is a common factor of 18 and 24?
- 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.Work out the highest common factor of 20 and 32.
- 12.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.
- 13.Is 120 divisible by 5? Give a reason for your answer.
- 14.Work out the highest common factor of 12 and 18.
- 15.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
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