Prime factorization of $$$2746$$$

Find the prime factorization of $$$2746$$$.

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

Determine whether $$$2746$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2746$$$ by $$${\color{green}2}$$$: $$$\frac{2746}{2} = {\color{red}1373}$$$.

The prime number $$${\color{green}1373}$$$ has no other factors then $$$1$$$ and $$${\color{green}1373}$$$: $$$\frac{1373}{1373} = {\color{red}1}$$$.

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: $$$2746 = 2 \cdot 1373$$$.

The prime factorization is $$$2746 = 2 \cdot 1373$$$A.