Prime factorization of 1683

Prime factorization of 1683:

By prime factorization of 1683 we follow 5 simple steps:
1. We write number 1683 above a 2-column table
2. We divide 1683 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

1683
prime factors	number to factorize
3	561
3	187
11	17
17	1

Prime factorization of 1683 = 1×3×3×11×17= $ 1 × 3^2 × 11 × 17 $