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:
[tex](2^2)(3)(5^4)(8)(11^2)[/tex]
Notice that [tex]8[/tex] is not is factored form, so factor it out
[tex]8=(2)(2)(2)=2^3[/tex]
Substitute in the factored form
[tex](2^3)(3)(5^4)(11^2)[/tex]
Hope this helps!