Find all factors of 625

Perform an algorithmic decomposition of the integer 625 with the prime factorization method. Begin by noticing that 625 is a multiple of 5 because the units digit is 5. Thus, we have that 625 is the product of 5 and 125. Next, observe that 125 can also be broken down further into the product of 5 and further more until we notice that 5 raised to the fourth power is 625. There are no other integer factors of 625.
1, 5, 25, 125, 625