Prime factorization of 586756

Prime factorization of 586756:

By prime factorization of 586756 we follow 5 simple steps:
1. We write number 586756 above a 2-column table
2. We divide 586756 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

586756
prime factors	number to factorize
2	293378
2	146689
383	383
383	1

Prime factorization of 586756 = 1×2×2×383×383= $ 1 × 2^2 × 383^2 $