Question

Express 32000 as the product of powers of prime factors.

Answer 1

32000 can be written as, 32000 = 32 x 1000
32000 = (2 x 2 x 2 x 2 x 2) x 1000 = $2^5\times {10}^3$ (As 32 = 2 x 2 x 2 x 2 x 2)
= $2^5\times (2\times 5{)}^3=2^5\times 2^3\times 5^3=2^8\times 5^3$