Prime factorization of 2004

Prime factorization of 2004:

By prime factorization of 2004 we follow 5 simple steps:
1. We write number 2004 above a 2-column table
2. We divide 2004 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

2004
prime factors	number to factorize
2	1002
2	501
3	167
167	1

Prime factorization of 2004 = 1×2×2×3×167= $ 1 × 2^2 × 3 × 167 $