Prime factorization of 30625

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Prime factorization of 30625:

By prime factorization of 30625 we follow 5 simple steps:
1. We write number 30625 above a 2-column table
2. We divide 30625 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

30625
prime factorsnumber to factorize
56125
51225
5245
549
77
71


Prime factorization of 30625 = 1×5×5×5×5×7×7= $ 1 × 5^4 × 7^2 $

 

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