A number is written with the following factorization: 22 × 3 × 54 × 8 × 112. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.

Answer 1

If you mean 2^2 * 3 * 5^4 * 11^2
then yes, since each factor is a power of as prime

As you wrote it, no, since 22, 54, 112 are not primes.

Answer 2

but the 8 ?

Answer 3

8 = 2*2*2 = 2^3
Thus 8 is itself not prime