Prime factorization of 73728

Prime factorization of 73728:

By prime factorization of 73728 we follow 5 simple steps:
1. We write number 73728 above a 2-column table
2. We divide 73728 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

73728
prime factors	number to factorize
2	36864
2	18432
2	9216
2	4608
2	2304
2	1152
2	576
2	288
2	144
2	72
2	36
2	18
2	9
3	3
3	1

Prime factorization of 73728 = 1×2×2×2×2×2×2×2×2×2×2×2×2×2×3×3= $ 1 × 2^13 × 3^2 $