Prime factorization of 409600

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Prime factorization of 409600:

By prime factorization of 409600 we follow 5 simple steps:
1. We write number 409600 above a 2-column table
2. We divide 409600 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

409600
prime factorsnumber to factorize
2204800
2102400
251200
225600
212800
26400
23200
21600
2800
2400
2200
2100
250
225
55
51


Prime factorization of 409600 = 1×2×2×2×2×2×2×2×2×2×2×2×2×2×2×5×5= $ 1 × 2^14 × 5^2 $

 

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