A number is written with the following factorization: 2 to the power of 2 times 3 times 5 to the power of 4 times 8 times 11 to the power of 2. 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

8 is not prime. 8 = 2^3
so, getting rid of all your words,
2^2 3 5^4 8 11^2
= 2^2 * 3 * 5^4 * 2^3 * 11^2
now collect like bases.