Answer
$2^{2}\times11$
Work Step by Step
In order to find the prime factorization of 44, we can try to divide 44 by the first prime, 2.
$44\div2=22$
Try to divide 22 by 2.
$22\div2=11$
11 itself is a prime number, so we cannot simplify any more. The prime factorization of 44 is $2\times2\times11=2^{2}\times11$.