Prime factorization of 17000

Prime factorization of 17000:

By prime factorization of 17000 we follow 5 simple steps:
1. We write number 17000 above a 2-column table
2. We divide 17000 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

17000
prime factors	number to factorize
2	8500
2	4250
2	2125
5	425
5	85
5	17
17	1

Prime factorization of 17000 = 1×2×2×2×5×5×5×17= $ 1 × 2^3 × 5^3 × 17 $