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

Maths · GCSE Foundation · N4 · Factors, multiples, primes, HCF and LCM · 15 questions

MathsUKwww.geekhero.co.uk

1.Work out the highest common factor of 15 and 25.
(a)75
(b)5
(c)15
(d)3
2.Work out the lowest common multiple of 4 and 6.
(a)12
(b)2
(c)6
(d)24
3.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.
(a)18 minutes
(b)54 minutes
(c)3 minutes
(d)15 minutes
4.Write down a prime number between 30 and 40.
(a)33
(b)31
(c)36
(d)34
5.Work out the highest common factor of 12 and 18.
(a)2
(b)6
(c)36
(d)3
6.Work out how many factors 36 has.
(a)5
(b)10
(c)8
(d)9
7.Work out the lowest common multiple of 9 and 15.
(a)24
(b)45
(c)135
(d)3
8.Which statement about the number 51 is correct?
(a)51 is prime, because it is not divisible by 2, 3 or 5.
(b)51 is not prime, because it is divisible by 2.
(c)51 is prime, because it is an odd number.
(d)51 is not prime, because 51 = 3 × 17.
9.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.
(a)36
(b)6
(c)108
(d)216
10.Which statement about the number 91 is correct?
(a)91 is not prime, because 91 = 7 × 13.
(b)91 is prime, because it is not divisible by 2, 3 or 5.
(c)91 is not prime, because it is divisible by 3.
(d)91 is prime, because it is an odd number ending in 1.
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.
(a)12
(b)240
(c)16
(d)15
12.Work out how many factors 100 has.
(a)8
(b)4
(c)9
(d)10
13.Which of these numbers is a common factor of 18 and 24?
(a)6
(b)8
(c)12
(d)9
14.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
15.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.
(a)12
(b)7
(c)20
(d)5

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