Prime factorization of 13689

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Prime factorization of 13689:

By prime factorization of 13689 we follow 5 simple steps:
1. We write number 13689 above a 2-column table
2. We divide 13689 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

13689
prime factorsnumber to factorize
34563
31521
3507
3169
1313
131


Prime factorization of 13689 = 1×3×3×3×3×13×13= $ 1 × 3^4 × 13^2 $

 

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