Prime factorization of $$$2734$$$

Find the prime factorization of $$$2734$$$.

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

Determine whether $$$2734$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2734$$$ by $$${\color{green}2}$$$: $$$\frac{2734}{2} = {\color{red}1367}$$$.

The prime number $$${\color{green}1367}$$$ has no other factors then $$$1$$$ and $$${\color{green}1367}$$$: $$$\frac{1367}{1367} = {\color{red}1}$$$.

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: $$$2734 = 2 \cdot 1367$$$.

The prime factorization is $$$2734 = 2 \cdot 1367$$$A.