2026 NORTHBROOKS P1 Q20

2026 NORTHBROOKS P1 Q20

Secondary 4
4 marks
    1. Write 360 as a product of its prime factors.[1]
    2. The highest common factor (HCF) of two numbers is 18.
      The lowest common multiple (LCM) of the two numbers is 360.
      Both numbers are greater than 20.
      Find the two numbers.[2]
  2. Written as a product of prime factors, \(4704=2^5\times3\times7^2\).
    The number \(4704k\) is a perfect cube.
    Find the smallest positive integer value of \(k\).[1]

Solution:

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Answer:(a)(i) \(2^3\times3^2\times5\). (ii) \(72,90\). (b) \(126\).

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