Prime factorization of 15000

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Prime factorization of 15000:

By prime factorization of 15000 we follow 5 simple steps:
1. We write number 15000 above a 2-column table
2. We divide 15000 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

15000
prime factorsnumber to factorize
27500
23750
21875
3625
5125
525
55
51


Prime factorization of 15000 = 1×2×2×2×3×5×5×5×5= $ 1 × 2^3 × 3 × 5^4 $

 

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