Prime factorization of $$$3494$$$

Find the prime factorization of $$$3494$$$.

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

Determine whether $$$3494$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3494$$$ by $$${\color{green}2}$$$: $$$\frac{3494}{2} = {\color{red}1747}$$$.

The prime number $$${\color{green}1747}$$$ has no other factors then $$$1$$$ and $$${\color{green}1747}$$$: $$$\frac{1747}{1747} = {\color{red}1}$$$.

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: $$$3494 = 2 \cdot 1747$$$.

The prime factorization is $$$3494 = 2 \cdot 1747$$$A.