Prime Factorisation, HCF, and LCM Applications

Prime Factorisation, HCF, and LCM Applications

Secondary 1

Written as the product of prime factors \(3500=2^{2}\times 5^{3}\times 7\).

  1. Express \(720\) as the product of its prime factors.
  2. Hence write down
    1. the largest integer which is a factor of both \(3500\) and \(720\),
    2. the smallest positive integer \(k\) for which \(720k\) is a multiple of \(3500\).

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Answer:(a) \(2^4\times3^2\times5\) (b)(i) \(20\) (b)(ii) \(175\)

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