Prime factorization of 1408

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Prime factorization of 1408:

By prime factorization of 1408 we follow 5 simple steps:
1. We write number 1408 above a 2-column table
2. We divide 1408 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

1408
prime factorsnumber to factorize
2704
2352
2176
288
244
222
211
111


Prime factorization of 1408 = 1×2×2×2×2×2×2×2×11= $ 1 × 2^7 × 11 $

 

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