Question

Express each of the following as product of powers of their prime factors:

1. 648
2. 405
3. 540
4. 3,600

Answer 1

(i) $648 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 = 2^3 . 3^4$

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(ii) $405 = 3 \times 3 \times 3 \times 3 \times 5 = 3^4 . 5$

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(iii) $540 = 2 \times 2 \times 3 \times 3 \times 3 \times 5 = 2^2 . 3^3 . 5$

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(iv) $3600 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5 = 2^4 . 3^2 . 5^2$