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
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The factors of 625 are: 1 5 25 125 625The prime factor of 625 is: 5
The factors of 625 are: 1 5 25 125 625The prime factor is: 5
1, 5, 25, 125, 625
The factors of 625 are 1, 5, 25, 125, and 625.The prime factors of 625 are 5, 5, 5, and 5.The distinct prime factor of 625 is 5.The prime factorization of 625 is 5 x 5 x 5 x 5 or, in index form (in other words, using exponents), 54.1, 5, 25, 125, 625
5 x 5 x 5 x 5 = 625