Answer
$2^{2}\times3^{2}$
Work Step by Step
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 $2\times2\times3\times3=2^{2}\times3^{2}$.
