Express 420 as a product of its prime factors.

Step-by-step solution

1. Divide by 2: $420÷2=210$ (factor 2).
2. Divide by 2 again: $210÷2=105$ (another factor 2).
3. Divide by 3: $105÷3=35$ (factor 3).
4. Divide by 5: $35÷5=7$ (factor 5).
5. Remaining 7 is prime. So $420=2^2\times 3\times 5\times 7$.
6. The prime factorisation is $2^2\times 3\times 5\times 7$.

Concept tested: Prime factorisation

Published 16 October 2026 · How this solution was prepared and checked