Prime factorization of 7744

Prime factorization of 7744:

By prime factorization of 7744 we follow 5 simple steps:
1. We write number 7744 above a 2-column table
2. We divide 7744 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

7744
prime factors	number to factorize
2	3872
2	1936
2	968
2	484
2	242
2	121
11	11
11	1

Prime factorization of 7744 = 1×2×2×2×2×2×2×11×11= $ 1 × 2^6 × 11^2 $