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 the highest common factor of 20 and 32.
- 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.Write 90 as a product of its prime factors.
- 5.Work out how many factors 100 has.
- 6.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.
- 7.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.
- 8.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.
- 9.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 10.Is 120 divisible by 5? Give a reason for your answer.
- 11.Write down a prime number between 30 and 40.
- 12.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.
- 13.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.
- 14.Which of these numbers is a common factor of 18 and 24?
- 15.Write 60 as a product of its prime factors, using index notation.
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