Prime factorization of 43264

Prime factorization of 43264:

By prime factorization of 43264 we follow 5 simple steps:
1. We write number 43264 above a 2-column table
2. We divide 43264 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

43264
prime factors	number to factorize
2	21632
2	10816
2	5408
2	2704
2	1352
2	676
2	338
2	169
13	13
13	1

Prime factorization of 43264 = 1×2×2×2×2×2×2×2×2×13×13= $ 1 × 2^8 × 13^2 $