Prime factorization of 36864

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Prime factorization of 36864:

By prime factorization of 36864 we follow 5 simple steps:
1. We write number 36864 above a 2-column table
2. We divide 36864 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

36864
prime factorsnumber to factorize
218432
29216
24608
22304
21152
2576
2288
2144
272
236
218
29
33
31


Prime factorization of 36864 = 1×2×2×2×2×2×2×2×2×2×2×2×2×3×3= $ 1 × 2^12 × 3^2 $

 

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