Prime factorization of 7038

Prime factorization of 7038:

By prime factorization of 7038 we follow 5 simple steps:
1. We write number 7038 above a 2-column table
2. We divide 7038 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

7038
prime factors	number to factorize
2	3519
3	1173
3	391
17	23
23	1

Prime factorization of 7038 = 1×2×3×3×17×23= $ 1 × 2 × 3^2 × 17 × 23 $