Prime factorization of 7500

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Prime factorization of 7500:

By prime factorization of 7500 we follow 5 simple steps:
1. We write number 7500 above a 2-column table
2. We divide 7500 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

7500
prime factorsnumber to factorize
23750
21875
3625
5125
525
55
51


Prime factorization of 7500 = 1×2×2×3×5×5×5×5= $ 1 × 2^2 × 3 × 5^4 $

 

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