Answer
$2^{5}\times3\times5$
Work Step by Step
In order to find the prime factorization of 480, we can try to divide 480 by the first prime, 2.
$480\div2=240$
Try to divide 240 by 2.
$240\div2=120$
Try to divide 120 by 2.
$120\div2=60$
Try to divide 60 by 2.
$60\div2=30$
Try to divide 30 by 2.
$30\div2=15$
15 cannot be divided by 2, so we divide by the next prime, 3.
$15\div3=5$
5 itself is a prime number, so we cannot simplify any more. The prime factorization of 480 is $2\times2\times2\times2\times2\times3\times5=2^{5}\times3\times5$.
