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

(i) 648


(ii) 405


(iii) 540


(iv) 3600

(i) On simplifying we get,

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3


= 23 × 34


(ii) On simplifying we get,


405 = 3 × 3 × 3 × 3 × 5


= 34 × 5


(iii) On simplifying we get,


540 = 2 × 2 × 3 × 3 × 3 × 5


= 22 × 33 × 5



(iv) On simplifying we get,


3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5


= 24 × 32 × 52


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