Prime factorization of $$$4258$$$

Find the prime factorization of $$$4258$$$.

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

Determine whether $$$4258$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4258$$$ by $$${\color{green}2}$$$: $$$\frac{4258}{2} = {\color{red}2129}$$$.

The prime number $$${\color{green}2129}$$$ has no other factors then $$$1$$$ and $$${\color{green}2129}$$$: $$$\frac{2129}{2129} = {\color{red}1}$$$.

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: $$$4258 = 2 \cdot 2129$$$.

The prime factorization is $$$4258 = 2 \cdot 2129$$$A.