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