Express 210 as a product of its prime factors.
Answer
210 = 2 × 3 × 5 × 7
The correct answer is 210 = 2 × 3 × 5 × 7 — Write the prime factorisation: (210 = 2 \times 3 \times 5 \times 7).
Step-by-step solution
- Divide 210 by the smallest prime 2 to get 105.
- Divide 105 by the next smallest prime 3 to get 35.
- Divide 35 by 5 to get 7.
- Recognise 7 is a prime number, so stop.
- Write the prime factorisation: (210 = 2 \times 3 \times 5 \times 7).
Common mistake: omitting a prime factor or using a non‑prime
Concept tested: prime factorisation of whole numbers
Published · How this solution was prepared and checked
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