4024/12 May/Jun 2021, Question 10: Prime Factorization
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Write 270 as a product of prime factors, then find the highest common factor of 270 and 225.
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Part (a) · 2 marks
Express 270 as a product of its prime factors.
- 1270 = 2 × 135 = 2 × 3 × 45 = 2 × 3 × 3 × 15 = 2 × 3 × 3 × 3 × 5
- 2270 = 2 × 3³ × 5
Answer2 × 3³ × 5
Part (b) · 2 marks
Find the HCF of 270 and 225.
- 1225 = 3 × 3 × 5 × 5 = 3² × 5²
- 2270 = 2 × 3³ × 5
- 3HCF = 3 × 3 × 5 = 45
Answer45
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Also searched as: 4024/12/M/J/21 · 4024_s21_qp_12 · 4024 s21 12 · question 10.
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