Prime factorization of $$$3442$$$

Find the prime factorization of $$$3442$$$.

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

Determine whether $$$3442$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3442$$$ by $$${\color{green}2}$$$: $$$\frac{3442}{2} = {\color{red}1721}$$$.

The prime number $$${\color{green}1721}$$$ has no other factors then $$$1$$$ and $$${\color{green}1721}$$$: $$$\frac{1721}{1721} = {\color{red}1}$$$.

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: $$$3442 = 2 \cdot 1721$$$.

The prime factorization is $$$3442 = 2 \cdot 1721$$$A.