Prime factorization of 11000

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Prime factorization of 11000:

By prime factorization of 11000 we follow 5 simple steps:
1. We write number 11000 above a 2-column table
2. We divide 11000 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

11000
prime factorsnumber to factorize
25500
22750
21375
5275
555
511
111


Prime factorization of 11000 = 1×2×2×2×5×5×5×11= $ 1 × 2^3 × 5^3 × 11 $

 

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