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4MA1/2FR Jun 2025, Question 18: Prime Factorization

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

Break down 1400 into prime factors and express the result using power notation, with working shown.

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

Solution · 3 marks

  1. 11400 = 2 × 700
  2. 2700 = 2 × 350
  3. 3350 = 2 × 175
  4. 4175 = 5 × 35
  5. 535 = 5 × 7
  6. 61400 = 2 × 2 × 2 × 5 × 5 × 7 = 2³ × 5² × 7

Answer2³ × 5² × 7

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