Prime factorization of $$$3482$$$

Find the prime factorization of $$$3482$$$.

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

Determine whether $$$3482$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3482$$$ by $$${\color{green}2}$$$: $$$\frac{3482}{2} = {\color{red}1741}$$$.

The prime number $$${\color{green}1741}$$$ has no other factors then $$$1$$$ and $$${\color{green}1741}$$$: $$$\frac{1741}{1741} = {\color{red}1}$$$.

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: $$$3482 = 2 \cdot 1741$$$.

The prime factorization is $$$3482 = 2 \cdot 1741$$$A.