2021 RGS Y1 EYA Q3

2021 RGS Y1 EYA Q3

IP 1
5 marks
  1. Find the prime factors of \(216\) and \(540\), giving your answers in index form.[2]
  2. Using the answers obtained in part (i), state the following, leaving your answers in index form.
    1. highest common factor of \(216\) and \(540\),[1]
    2. lowest common multiple of \(216\) and \(540\).[1]
  3. Write down the smallest positive integer value of \(q\) such that \(\sqrt[3]{540q}\) is a whole number.[1]

Solution:

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Answer:(i) \(216=2^3\times3^3\), \(540=2^2\times3^3\times5\) (ii)(a) \(2^2\times3^3\) (b) \(2^3\times3^3\times5\) (iii) \(q=50\)

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