Prime factorization of 123456

Prime factorization of 123456:

By prime factorization of 123456 we follow 5 simple steps:
1. We write number 123456 above a 2-column table
2. We divide 123456 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

123456
prime factors	number to factorize
2	61728
2	30864
2	15432
2	7716
2	3858
2	1929
3	643
643	1

Prime factorization of 123456 = 1×2×2×2×2×2×2×3×643= $ 1 × 2^6 × 3 × 643 $