Question

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

(i) 648

(ii) 405

(iii) 540

(iv) 3,600

Answer 1

(i) 648

648 = 2 × 2 × 2 × 3 × 3 × 3 × 3

= 2³ × 3⁴

(ii) 405

405 = 5 × 3 × 3 × 3 × 3

= 5 × 3⁴

(iii) 540

540 = 2 × 2 × 3 × 3 × 3 × 5

= 2² × 3³ × 5

(iv) 3,600

3,600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

= 2⁴ × 3² × 5²