O-LevelMathematicsNumber4024/12 · Oct/Nov 2023 · Q93 Marks
Write 180 as the product of its prime factors.
- (a)Write 180 as the product of its prime factors.[2]
- (b)Expressed as the product of their prime factors, 36 = 2² x 3² and N = 2²×3×k, where k > 3. 180 is the lowest common multiple (LCM) of 36 and N. Find the value of k.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] 2² x 3² x 5
- or 2×2×3×3×5
- B1 for list 2, 2, 3, 3, 5
- or M1 for any two stages correct in factor tree or ladder method
- [1] 5 cao
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