Prime factorization of 8586

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Prime factorization of 8586:

By prime factorization of 8586 we follow 5 simple steps:
1. We write number 8586 above a 2-column table
2. We divide 8586 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

8586
prime factorsnumber to factorize
24293
31431
3477
3159
353
531


Prime factorization of 8586 = 1×2×3×3×3×3×53= $ 1 × 2 × 3^4 × 53 $

 

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