O-LevelMathematicsNumber4024/12 · Oct/Nov 2021 · Q94 Marks
Write 216 as a product of its prime factors.
- (a)Write 216 as a product of its prime factors.[2]
- (b)Two positive integers are each greater than 25. Their lowest common multiple (LCM) is 216. Their highest common factor (HCF) is 18. Find the two integers.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [2] 2³ × 3³ or 2×2×2×3×3×3
- B1 for list 2, 2, 2, 3, 3, 3 or M1 for any two stages correct in factor tree or ladder method
- [2] 54 and 72
- B1 for [18 =] 2 × 3 × 3 soi or M1 for listing two or more of 36, 54, 72, 108
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