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.
Non-calculator
Factors, multiples, primes, HCF and LCM worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Which of these numbers is a common factor of 18 and 24?
- 2.Write 90 as a product of its prime factors.
- 3.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.
- 4.Work out the lowest common multiple of 9 and 15.
- 5.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 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.Work out how many factors 100 has.
- 8.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 9.Write 200 as a product of its prime factors, using index notation.
- 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.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.
- 12.Work out the highest common factor of 12 and 18.
- 13.Is 120 divisible by 5? Give a reason for your answer.
- 14.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.
- 15.Write 60 as a product of its prime factors, using index notation.
Build your own mix at the worksheet builder.