Prime factorization of 46000

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Prime factorization of 46000:

By prime factorization of 46000 we follow 5 simple steps:
1. We write number 46000 above a 2-column table
2. We divide 46000 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

46000
prime factorsnumber to factorize
223000
211500
25750
22875
5575
5115
523
231


Prime factorization of 46000 = 1×2×2×2×2×5×5×5×23= $ 1 × 2^4 × 5^3 × 23 $

 

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