# What is the prime factorization of 44?

$2 \times 2 \times 11$. This can also be written ${2}^{2} \times 11$
$44$ is not prime. It is divisible by $2$, we get $44 = 2 \times 22$.
$22$ is not prime, it is $22 = 2 \times 11$ so we have
$44 = 2 \times \left(2 \times 11\right)$ which is the same as $44 = 2 \times 2 \times 11 = {2}^{2} \times 11$