Prime factorization of 19000

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Prime factorization of 19000:

By prime factorization of 19000 we follow 5 simple steps:
1. We write number 19000 above a 2-column table
2. We divide 19000 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

19000
prime factorsnumber to factorize
29500
24750
22375
5475
595
519
191


Prime factorization of 19000 = 1×2×2×2×5×5×5×19= $ 1 × 2^3 × 5^3 × 19 $

 

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