Prime factorization of 122500

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Prime factorization of 122500:

By prime factorization of 122500 we follow 5 simple steps:
1. We write number 122500 above a 2-column table
2. We divide 122500 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

122500
prime factorsnumber to factorize
261250
230625
56125
51225
5245
549
77
71


Prime factorization of 122500 = 1×2×2×5×5×5×5×7×7= $ 1 × 2^2 × 5^4 × 7^2 $

 

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