Prime factorization of 119025

Prime factorization of 119025:

By prime factorization of 119025 we follow 5 simple steps:
1. We write number 119025 above a 2-column table
2. We divide 119025 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

119025
prime factors	number to factorize
3	39675
3	13225
5	2645
5	529
23	23
23	1

Prime factorization of 119025 = 1×3×3×5×5×23×23= $ 1 × 3^2 × 5^2 × 23^2 $