Prime factorization of 12625

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Prime factorization of 12625:

By prime factorization of 12625 we follow 5 simple steps:
1. We write number 12625 above a 2-column table
2. We divide 12625 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table

12625
prime factorsnumber to factorize
52525
5505
5101
1011


Prime factorization of 12625 = 1×5×5×5×101= $ 1 × 5^3 × 101 $

 

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