Prime factorization of $$$2614$$$

Find the prime factorization of $$$2614$$$.

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

Determine whether $$$2614$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2614$$$ by $$${\color{green}2}$$$: $$$\frac{2614}{2} = {\color{red}1307}$$$.

The prime number $$${\color{green}1307}$$$ has no other factors then $$$1$$$ and $$${\color{green}1307}$$$: $$$\frac{1307}{1307} = {\color{red}1}$$$.

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: $$$2614 = 2 \cdot 1307$$$.

The prime factorization is $$$2614 = 2 \cdot 1307$$$A.