Prime factorization of 6500

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Prime factorization of 6500:

By prime factorization of 6500 we follow 5 simple steps:
1. We write number 6500 above a 2-column table
2. We divide 6500 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

6500
prime factorsnumber to factorize
23250
21625
5325
565
513
131


Prime factorization of 6500 = 1×2×2×5×5×5×13= $ 1 × 2^2 × 5^3 × 13 $

 

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