Worked out examples

Eg:

Express 57024 as product of prime factors.

Sol:

The prime factorization for 57024 is shown below:

So we have factorized 57024 as 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 as a product of primes

i.e., 57024 = 2⁶ × 3⁴ × 11 as a product of powers of primes.

Eg:

Express 11520 as product of prime factors.

Sol:

The prime factorization for 11520 is shown below:

So we have factorized 11520 as 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 as a product of primes,

i.e., 11520 = 2⁸ × 3² × 11 as a product of powers of primes.