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O-LevelMathematicsNumber4024/12 · May/June 2019 · Q154 Marks

Write 168 as a product of its prime factors.

  1. (a)Write 168 as a product of its prime factors.[2]
  2. (b)The highest common factor of 168 and N is 42. Given that 200 < N < 300, find the two possible values of N.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [2] (a) 2 × 2 × 2 × 3 × 7 or 2³ × 3 × 7
  2. [B1] for 2, 2, 2, 3, 7 as factors
  3. [M1] or for any two stages correct in factor tree or ladder method
  4. [2] (b) 210 and 294 only
  5. [B1] for one correct value seen
  6. [B1] or for answers 2 × 3 × 5 × 7 and 2 × 3 × 7²

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 15.

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