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O-LevelMathematicsNumber4024/11 · Oct/Nov 2024 · Q143 Marks

Write 360 as a product of its prime factors.

  1. (a)Write 360 as a product of its prime factors.[2]
  2. (b)Find the smallest positive integer n such that 360n is a cube number.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [2] 14(a) 2^3 × 3^2 × 5 or 2 × 2 × 2 × 3 × 3 × 5
  2. B1 for 2, 2, 2, 3, 3, 5 listed, not a product
  3. or M1 for any two stages correct in factor tree or ladder method
  4. [1] 14(b) 75

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2024 Paper 1 Variant 1, question 14.

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