Prime factorization of $$$334$$$

Find the prime factorization of $$$334$$$.

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

Determine whether $$$334$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$334$$$ by $$${\color{green}2}$$$: $$$\frac{334}{2} = {\color{red}167}$$$.

The prime number $$${\color{green}167}$$$ has no other factors then $$$1$$$ and $$${\color{green}167}$$$: $$$\frac{167}{167} = {\color{red}1}$$$.

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: $$$334 = 2 \cdot 167$$$.

The prime factorization is $$$334 = 2 \cdot 167$$$A.