11 (a) Write 120 as a product of its prime factors. (b) 315 = 3² × 5 × 7. Use this information to find the smallest integer value of n, such that 315n is a square number.
- (a)Write 120 as a product of its prime factors.[2]
- (b)315 = 3² × 5 × 7. Use this information to find the smallest integer value of n, such that 315n is a square number.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [2] 2×2×2×3×5 or 2³×3×5
- B1 for full list of prime factors, not as product
- or M1 for any two stages correct in factor tree or ladder method
- [1] 35
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