Prime factorization of $$$3506$$$

Find the prime factorization of $$$3506$$$.

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

Determine whether $$$3506$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3506$$$ by $$${\color{green}2}$$$: $$$\frac{3506}{2} = {\color{red}1753}$$$.

The prime number $$${\color{green}1753}$$$ has no other factors then $$$1$$$ and $$${\color{green}1753}$$$: $$$\frac{1753}{1753} = {\color{red}1}$$$.

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: $$$3506 = 2 \cdot 1753$$$.

The prime factorization is $$$3506 = 2 \cdot 1753$$$A.