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
MathsUKwww.geekhero.co.uk
- 1.Write 90 as a product of its prime factors.
- 2.Work out how many factors 100 has.
- 3.Work out the lowest common multiple of 4 and 6.
- 4.Work out the highest common factor of 15 and 25.
- 5.Work out how many factors 36 has.
- 6.Is 120 divisible by 5? Give a reason for your answer.
- 7.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.
- 8.Write 200 as a product of its prime factors, using index notation.
- 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.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.
- 11.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.
- 12.Write 60 as a product of its prime factors, using index notation.
- 13.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.
- 14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 15.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.
Build your own mix at the worksheet builder.