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

(i) 648 (ii) 405

(iii) 540 (iv) 3,600

Open in App

Solution

(i) 648 = 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2³. 3⁴

(ii) 405 = 3 × 3 × 3 × 3 × 5 = 3⁴ . 5

(iii) 540 = 2 × 2 × 3 × 3 × 3 × 5 = 2². 3³. 5

(iv) 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 2⁴. 3². 5²

Suggest Corrections

Similar questions

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

$(i)$ $648$ $(i i)$ $405$

$(i i i)$ $540$ $(i v)$ $3, 600$

648

Question 5(iv)
Express each of the following as the product of powers of their prime factors:
(iv) 3,600

Question 5(ii)
Express each of the following as product of powers of their prime factors:
(ii) 405

Question 5(iii)
Express each of the following as product of powers of their prime factors:
(iii) 540

Join BYJU'S Learning Program