Prime factorization of 34456

Prime factorization of 34456:

By prime factorization of 34456 we follow 5 simple steps:
1. We write number 34456 above a 2-column table
2. We divide 34456 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

34456
prime factors	number to factorize
2	17228
2	8614
2	4307
59	73
73	1

Prime factorization of 34456 = 1×2×2×2×59×73= $ 1 × 2^3 × 59 × 73 $