Prime factorization of $$$514$$$

Find the prime factorization of $$$514$$$.

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

Determine whether $$$514$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$514$$$ by $$${\color{green}2}$$$: $$$\frac{514}{2} = {\color{red}257}$$$.

The prime number $$${\color{green}257}$$$ has no other factors then $$$1$$$ and $$${\color{green}257}$$$: $$$\frac{257}{257} = {\color{red}1}$$$.

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: $$$514 = 2 \cdot 257$$$.

The prime factorization is $$$514 = 2 \cdot 257$$$A.