The prime factorization of 125 is 5 x 5 x 5, or 53.
To break it down, we start by finding the smallest prime number that can divide 125. In this case, that number is 5. When we divide 125 by 5, we get 25. We can do this again, dividing 25 by 5, which gives us 5. Lastly, if we divide 5 by 5, we end up with 1.
So, we can express 125 as a product of its prime factors: 5 x 5 x 5 or 53. This means that the prime factorization of 125 is 5 raised to the power of 3.