Prime factorization of 8228

Prime factorization of 8228:

By prime factorization of 8228 we follow 5 simple steps:
1. We write number 8228 above a 2-column table
2. We divide 8228 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

8228
prime factors	number to factorize
2	4114
2	2057
11	187
11	17
17	1

Prime factorization of 8228 = 1×2×2×11×11×17= $ 1 × 2^2 × 11^2 × 17 $