2026 EVG P1 Q17

2026 EVG P1 Q17

Secondary 4
5 marks

The lowest common multiple of two integers, 440 and B, is 1320.

  1. Express 440 as the product of its prime factors, giving your answer in index form.[1]
  2. If B is 6, find the highest common factor of 440 and B.[1]
  3. If the highest common factor of 440 and B is 55, find the smallest possible B.[1]
  4. Find the smallest positive integer \(h\) for which \(42/h\) is a factor of 440.[1]
  5. Jane has 440 five-centimetre cubes. She makes them into a cuboid. All the sides of the cuboid are greater than 20 cm. Determine the dimensions of the cuboid.[1]

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Answer:(a) \(2^3\times5\times11\). (b) 2. (c) 165. (d) 21. (e) 25 cm × 40 cm × 55 cm.

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