Prime factorization of $$$502$$$

Find the prime factorization of $$$502$$$.

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

Determine whether $$$502$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$502$$$ by $$${\color{green}2}$$$: $$$\frac{502}{2} = {\color{red}251}$$$.

The prime number $$${\color{green}251}$$$ has no other factors then $$$1$$$ and $$${\color{green}251}$$$: $$$\frac{251}{251} = {\color{red}1}$$$.

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: $$$502 = 2 \cdot 251$$$.

The prime factorization is $$$502 = 2 \cdot 251$$$A.