Answer
$2^{2}\times3\times5^{2}$
Work Step by Step
In order to find the prime factorization of 300, we can try to divide 300 by the first prime, 2.
$300\div2=150$
Try to divide 150 by 2.
$150\div2=75$
75 cannot be divided by 2, so we divide by the next prime, 3.
$75\div3=25$
25 cannot be divided by 2 or 3, so we divide by the next prime, 5.
$25\div5=5$
5 itself is a prime number, so we cannot simplify any more. The prime factorization of 300 is $2\times2\times3\times5\times5=2^{2}\times3\times5^{2}$.
