Prime factorization of 294912

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Prime factorization of 294912:

By prime factorization of 294912 we follow 5 simple steps:
1. We write number 294912 above a 2-column table
2. We divide 294912 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

294912
prime factorsnumber to factorize
2147456
273728
236864
218432
29216
24608
22304
21152
2576
2288
2144
272
236
218
29
33
31


Prime factorization of 294912 = 1×2×2×2×2×2×2×2×2×2×2×2×2×2×2×2×3×3= $ 1 × 2^15 × 3^2 $

 

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