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