Prime factorization of 3744

Prime factorization of 3744:

By prime factorization of 3744 we follow 5 simple steps:
1. We write number 3744 above a 2-column table
2. We divide 3744 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

3744
prime factors	number to factorize
2	1872
2	936
2	468
2	234
2	117
3	39
3	13
13	1

Prime factorization of 3744 = 1×2×2×2×2×2×3×3×13= $ 1 × 2^5 × 3^2 × 13 $