Prime factorization of 27783

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Prime factorization of 27783:

By prime factorization of 27783 we follow 5 simple steps:
1. We write number 27783 above a 2-column table
2. We divide 27783 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

27783
prime factorsnumber to factorize
39261
33087
31029
3343
749
77
71


Prime factorization of 27783 = 1×3×3×3×3×7×7×7= $ 1 × 3^4 × 7^3 $

 

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