Prime factorization of $$$4694$$$

Find the prime factorization of $$$4694$$$.

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

Determine whether $$$4694$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4694$$$ by $$${\color{green}2}$$$: $$$\frac{4694}{2} = {\color{red}2347}$$$.

The prime number $$${\color{green}2347}$$$ has no other factors then $$$1$$$ and $$${\color{green}2347}$$$: $$$\frac{2347}{2347} = {\color{red}1}$$$.

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: $$$4694 = 2 \cdot 2347$$$.

The prime factorization is $$$4694 = 2 \cdot 2347$$$A.