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.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 2.Write 60 as a product of its prime factors, using index notation.
- 3.Write 12 as a product of its prime factors.
- 4.Work out the highest common factor of 20 and 32.
- 5.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.
- 6.Write 200 as a product of its prime factors, using index notation.
- 7.Work out how many factors 100 has.
- 8.Work out the lowest common multiple of 9 and 15.
- 9.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.
- 10.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.
- 11.Which of these numbers is a common factor of 18 and 24?
- 12.Write 90 as a product of its prime factors.
- 13.Work out how many factors 36 has.
- 14.Work out the lowest common multiple of 4 and 6.
- 15.Write down a prime number between 30 and 40.
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