Prime factorization of 10008

Prime factorization of 10008:

By prime factorization of 10008 we follow 5 simple steps:
1. We write number 10008 above a 2-column table
2. We divide 10008 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

10008
prime factors	number to factorize
2	5004
2	2502
2	1251
3	417
3	139
139	1

Prime factorization of 10008 = 1×2×2×2×3×3×139= $ 1 × 2^3 × 3^2 × 139 $