Q

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

Q.5.   Express each of the following as product of powers of their prime factors:

(i) 648    (ii) 405    (iii) 540   (iv) 3,600

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(i) 648

 2 648 2 324 2 162 2 81 3 27 3 9 3 3 1

$648=2^3\times 3^4$

(ii) 405

 5 405 3 81 3 27 3 9 3 3 1

$405=5\times 3^4$

(iii)540

 2 540 2 270 3 135 3 45 3 15 5 5 1

$540=2^2\times 3^3\times 5$

(iv) 3600

 2 3600 2 1800 2 900 2 450 3 225 3 75 5 25 5 5 1

$3600=2^4\times 3^2\times 5 ^2$

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