Prime factorization of 817216

Prime factorization of 817216:

By prime factorization of 817216 we follow 5 simple steps:
1. We write number 817216 above a 2-column table
2. We divide 817216 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

817216
prime factors	number to factorize
2	408608
2	204304
2	102152
2	51076
2	25538
2	12769
113	113
113	1

Prime factorization of 817216 = 1×2×2×2×2×2×2×113×113= $ 1 × 2^6 × 113^2 $