Question

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

(i) 450

(ii) 2800

(iii) 24000

Answer 1

(i) Given 450

Prime factorization of 450 = 2 x 3 x 3 x 5 x 5

= 2 x 3² x 5²

(ii) Given 2800

Prime factorization of 2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

= 2⁴ x 5² x 7

(iii) Given 24000

Prime factorization of 24000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5

= 2⁶ x 3 x 5³