ANSWER
The prime factorization of 36 is
[tex] {2}^{2} \times {3}^{2} [/tex]
EXPLANATION
We want to find the prime factorization of 36.
The prime numbers that are factors of 36 are
[tex]2 \: and \: 3[/tex]
So we find the number of times these two prime factors will multiply to get 36.
Thus,
[tex]36 = 2 \times 2 \times 3 \times 3[/tex]
Thus gives
[tex]36 = {2}^{2} \times {3}^{2} [/tex]
