Question

I need to check my answer... please help...

the prime factorization in powers of primes of the number: 16380.

5460 to the power of three
is this correct

Answer 1

5460 is not a prime number. You must keep dividing.

5460 = 10 * 546
~ 10 = 2*5
546 = 6 * 91
~ 6 = 2*3
91 = 7 * 13

So you have 2^2 * 3^2 * 5^1 * 7^1 * 13^1