Answer
$2^{6}$
Work Step by Step
In order to find the prime factorization of 64, we can try to divide 64 by the first prime, 2.
$64\div2=32$
Try to divide 32 by 2.
$32\div2=16$
Try to divide 16 by 2.
$16\div2=8$
Try to divide 8 by 2.
$8\div2=4$
Try to divide 4 by 2.
$4\div2=2$
2 itself is a prime number, so we cannot simplify any more. The prime factorization of 64 is $2\times2\times2\times2\times2\times2=2^{6}$.