# Prime factorization of 15125

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Prime factorization of 15125:

By prime factorization of 15125 we follow 5 simple steps:
1. We write number 15125 above a 2-column table
2. We divide 15125 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

 15125 prime factors number to factorize 5 3025 5 605 5 121 11 11 11 1

Prime factorization of 15125 = 1×5×5×5×11×11= $1 × 5^3 × 11^2$

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