Prime factorization of $$$2566$$$

Find the prime factorization of $$$2566$$$.

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

Determine whether $$$2566$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2566$$$ by $$${\color{green}2}$$$: $$$\frac{2566}{2} = {\color{red}1283}$$$.

The prime number $$${\color{green}1283}$$$ has no other factors then $$$1$$$ and $$${\color{green}1283}$$$: $$$\frac{1283}{1283} = {\color{red}1}$$$.

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: $$$2566 = 2 \cdot 1283$$$.

The prime factorization is $$$2566 = 2 \cdot 1283$$$A.