# Prime factorization of 529

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Prime factorization of 529:

By prime factorization of 529 we follow 5 simple steps:
1. We write number 529 above a 2-column table
2. We divide 529 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

 529 prime factors number to factorize 23 23 23 1

Prime factorization of 529 = 1×23×23= $1 × 23^2$

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