Prime factorization of 25000

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Prime factorization of 25000:

By prime factorization of 25000 we follow 5 simple steps:
1. We write number 25000 above a 2-column table
2. We divide 25000 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

25000
prime factorsnumber to factorize
212500
26250
23125
5625
5125
525
55
51


Prime factorization of 25000 = 1×2×2×2×5×5×5×5×5= $ 1 × 2^3 × 5^5 $

 

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