Prime factorization of 456654

Prime factorization of 456654:

By prime factorization of 456654 we follow 5 simple steps:
1. We write number 456654 above a 2-column table
2. We divide 456654 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

456654
prime factors	number to factorize
2	228327
3	76109
11	6919
11	629
17	37
37	1

Prime factorization of 456654 = 1×2×3×11×11×17×37= $1 × 2 × 3 × 11^2 × 17 × 37$