Prime factorization of 34848

Prime factorization of 34848:

By prime factorization of 34848 we follow 5 simple steps:
1. We write number 34848 above a 2-column table
2. We divide 34848 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

34848
prime factors	number to factorize
2	17424
2	8712
2	4356
2	2178
2	1089
3	363
3	121
11	11
11	1

Prime factorization of 34848 = 1×2×2×2×2×2×3×3×11×11= $ 1 × 2^5 × 3^2 × 11^2 $