Page 18 - ACE YR IGCSE A TOP APPR' TO MATHS

Multiples and factors

1 Three numbers P, Q and R, are written as the products of their prime factors.

P = 2 × 3 × 7 2
3
Q = 2 × 7 2
4
R = 2 × 3 × 7 2
5
Give your answers in index form, find
(a) the lowest common multiple of P and Q

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(b) the highest common multiple of P, Q and R

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(c) the square root of Q

[2]

2 Express 45 and 60 as the product of their prime factors.
(a) Find the highest common factor of 45 and 60.
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[2]

(b) Write down the smallest positive integer, a, such that 45a is a perfect square.

[2]

3 Lucas wants to pack 72 mint sweets, 60 orange sweets and 96 chocolate sweets into small containers as
many as possible. He wants to ensure that no sweets are leftover. The number of each flavoured sweet
must be the same in each container.
Find
(a) the greatest number of containers that Lucas would need to use

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(b) the number of orange sweets in each container

[2]

Chapter 1A Numbers 13

Chapter 1A.indd 13 15/03/2022 10:27 AM