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 how many factors 100 has.
- 2.Work out the highest common factor of 12 and 18.
- 3.Write 12 as a product of its prime factors.
- 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.Write down a prime number between 30 and 40.
- 6.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.
- 7.Is 120 divisible by 5? Give a reason for your answer.
- 8.Work out the highest common factor of 20 and 32.
- 9.Which of these numbers is a common factor of 18 and 24?
- 10.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 11.Work out the lowest common multiple of 4 and 6.
- 12.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.
- 13.Write 60 as a product of its prime factors, using index notation.
- 14.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.
- 15.Work out how many factors 36 has.
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