Prime factorization of 114688

Prime factorization of 114688:

By prime factorization of 114688 we follow 5 simple steps:
1. We write number 114688 above a 2-column table
2. We divide 114688 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

114688
prime factors	number to factorize
2	57344
2	28672
2	14336
2	7168
2	3584
2	1792
2	896
2	448
2	224
2	112
2	56
2	28
2	14
2	7
7	1

Prime factorization of 114688 = 1×2×2×2×2×2×2×2×2×2×2×2×2×2×2×7= $ 1 × 2^14 × 7 $