Prime factorization of 59166

Prime factorization of 59166:

By prime factorization of 59166 we follow 5 simple steps:
1. We write number 59166 above a 2-column table
2. We divide 59166 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

59166
prime factors	number to factorize
2	29583
3	9861
3	3287
19	173
173	1

Prime factorization of 59166 = 1×2×3×3×19×173= $ 1 × 2 × 3^2 × 19 × 173 $