2025 MSHS PRELIMS P1 Q18

2025 MSHS PRELIMS P1 Q18

Secondary 4
2 marks

Written as products of prime factors, \(588=2^2\times3\times7^2\) and \(1400=2^3\times5^2\times7\). Find

  1. the smallest integer, \(m\), such that \(1400m\) is a perfect cube,[1]
  2. the greatest integer that will divide both 1400 and 588 exactly.[1]

Solution:

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Answer:(a) \(245\) (b) \(28\)

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