Prime factorization of $$$3566$$$

Find the prime factorization of $$$3566$$$.

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

Determine whether $$$3566$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3566$$$ by $$${\color{green}2}$$$: $$$\frac{3566}{2} = {\color{red}1783}$$$.

The prime number $$${\color{green}1783}$$$ has no other factors then $$$1$$$ and $$${\color{green}1783}$$$: $$$\frac{1783}{1783} = {\color{red}1}$$$.

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: $$$3566 = 2 \cdot 1783$$$.

The prime factorization is $$$3566 = 2 \cdot 1783$$$A.