Prime factorization of $$$2846$$$

Find the prime factorization of $$$2846$$$.

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

Determine whether $$$2846$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2846$$$ by $$${\color{green}2}$$$: $$$\frac{2846}{2} = {\color{red}1423}$$$.

The prime number $$${\color{green}1423}$$$ has no other factors then $$$1$$$ and $$${\color{green}1423}$$$: $$$\frac{1423}{1423} = {\color{red}1}$$$.

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: $$$2846 = 2 \cdot 1423$$$.

The prime factorization is $$$2846 = 2 \cdot 1423$$$A.