## Basic College Mathematics (10th Edition)

$2^{2}\times3^{2}$
In order to find the prime factorization by 36, we can try to divide 36 by the first prime number, 2. $36\div2=18$ Try to divide 18 by 2. $18\div2=9$ 9 is not divisible by 2, so we divide it by the next prime, 3. $9\div3=3$ The number 3 itself is a prime number. Therefore, the prime factorization of 36 is $2\times2\times3\times3=2^{2}\times3^{2}$.