Prime factorization of $$$2186$$$

Find the prime factorization of $$$2186$$$.

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

Determine whether $$$2186$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2186$$$ by $$${\color{green}2}$$$: $$$\frac{2186}{2} = {\color{red}1093}$$$.

The prime number $$${\color{green}1093}$$$ has no other factors then $$$1$$$ and $$${\color{green}1093}$$$: $$$\frac{1093}{1093} = {\color{red}1}$$$.

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: $$$2186 = 2 \cdot 1093$$$.

The prime factorization is $$$2186 = 2 \cdot 1093$$$A.