Prime factorization of 53000

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Prime factorization of 53000:

By prime factorization of 53000 we follow 5 simple steps:
1. We write number 53000 above a 2-column table
2. We divide 53000 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

53000
prime factorsnumber to factorize
226500
213250
26625
51325
5265
553
531


Prime factorization of 53000 = 1×2×2×2×5×5×5×53= $ 1 × 2^3 × 5^3 × 53 $

 

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