Answer
$2^2\times3\times5^2$
Work Step by Step
Breaking the given number, $300$, into factors until all factors are prime, then its prime factorization is
\begin{array}{l}\require{cancel}
30\times10
\\\\=
30\times2\times5
\\\\=
2\times15\times2\times5
\\\\=
2\times3\times5\times2\times5
\\\\=
2\times2\times3\times5\times5
\\\\=
2^2\times3\times5^2
.\end{array}