Prime factorization of 146688

Prime factorization of 146688:

By prime factorization of 146688 we follow 5 simple steps:
1. We write number 146688 above a 2-column table
2. We divide 146688 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

146688
prime factors	number to factorize
2	73344
2	36672
2	18336
2	9168
2	4584
2	2292
2	1146
2	573
3	191
191	1

Prime factorization of 146688 = 1×2×2×2×2×2×2×2×2×3×191= $ 1 × 2^8 × 3 × 191 $