Answer
$2^{3}\times3^{2}\times5$
Work Step by Step
In order to find the prime factorization by 360, we can try to divide 360 by the first prime number, 2.
$360\div2=180$
Try to divide 180 by 2.
$180\div2=90$
Try to divide 90 by 2.
$90\div2=45$
45 is not divisible by 2, so we can divide by the next prime, 3.
$45\div3=15$
15 is not divisible by 2, so we can divide by 3.
$15\div3=5$
The number 5 itself is a prime number. Therefore, the prime factorization of 360 is $2\times2\times2\times3\times3\times5=2^{3}\times3^{2}\times5$.
