Answer
$5^{3}$
Work Step by Step
In order to find the prime factorization of 125, we can try to divide 125 by the first prime, 2.
125 cannot be divided by 2 or 3, so we divide by the next prime, 5.
$125\div5=25$
25 cannot be divided by 2 or 3, so we divide by 5.
$25\div5=5$
5 itself is a prime number, so we cannot simplify any more. The prime factorization of 125 is $5\times5\times5=5^{3}$.
