## Basic College Mathematics (9th Edition)

$2^{3}\times3^{2}\times5$
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 $2\times2\times2\times3\times3\times5=2^{3}\times3^{2}\times5$.