Prime factorization of $$$1346$$$

Find the prime factorization of $$$1346$$$.

Start with the number $$$2$$$.

Determine whether $$$1346$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1346$$$ by $$${\color{green}2}$$$: $$$\frac{1346}{2} = {\color{red}673}$$$.

The prime number $$${\color{green}673}$$$ has no other factors then $$$1$$$ and $$${\color{green}673}$$$: $$$\frac{673}{673} = {\color{red}1}$$$.

Since we have obtained $$$1$$$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $$$1346 = 2 \cdot 673$$$.

The prime factorization is $$$1346 = 2 \cdot 673$$$A.