Prime factorization of 1782

Prime factorization of 1782:

By prime factorization of 1782 we follow 5 simple steps:
1. We write number 1782 above a 2-column table
2. We divide 1782 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

1782
prime factors	number to factorize
2	891
3	297
3	99
3	33
3	11
11	1

Prime factorization of 1782 = 1×2×3×3×3×3×11= $ 1 × 2 × 3^4 × 11 $