#### Answer

$2\times2\times2\times3\times3\times5$

#### Work Step by Step

$3|\underline{360}$ sum of digits is divisible by 3
$3|\underline{120}$ sum of digits is divisible by 3
$5|\underline{\ \ 40}$ last digit is 0
$2|\underline{\ \ \ \ 8}$ last digit is even
$2|\underline{\ \ \ \ 4}$ last digit is even
$\ \ \ \ \ \ \ 2$