Question

HELP NOW PLEASE

A number is written with the following factorization: 2^2 × 3 × 5^4 × 8 × 11^2. 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

That is NOT written in prime factorization because the numbers are not all prime, to put it simply. Here's how you should simplify it to write it correctly:


`(2^2)(3)(5^4)(8)(11^2)`

Notice that
`8` is not is factored form, so factor it out


`8=(2)(2)(2)=2^3`

Substitute in the factored form


`(2^3)(3)(5^4)(11^2)`

Hope this helps!