Prime factorization of 34606

Prime factorization of 34606:

By prime factorization of 34606 we follow 5 simple steps:
1. We write number 34606 above a 2-column table
2. We divide 34606 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

34606
prime factors	number to factorize
2	17303
11	1573
11	143
11	13
13	1

Prime factorization of 34606 = 1×2×11×11×11×13= $ 1 × 2 × 11^3 × 13 $