Prime factorization of 3666

Prime factorization of 3666:

By prime factorization of 3666 we follow 5 simple steps:
1. We write number 3666 above a 2-column table
2. We divide 3666 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

3666
prime factors	number to factorize
2	1833
3	611
13	47
47	1

Prime factorization of 3666 = 1×2×3×13×47= $ 1 × 2 × 3 × 13 × 47 $