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0580/22 Oct/Nov 2022, Question 12: Prime Factorization

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks

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The question, in short

Given x = 3² × 5² × 7 × 199⁵⁷, express x divided by 315 as a product of primes.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1315 = 3² × 5 × 7
  2. 2x ÷ 315 = (3² × 5² × 7 × 199⁵⁷) ÷ (3² × 5 × 7)
  3. 3= 5 × 199⁵⁷

Answer5 × 199⁵⁷

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Also searched as: 0580/22/O/N/22 · 0580_w22_qp_22 · 0580 w22 22 · question 12.
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