Prime factorization of $$$3028$$$

Find the prime factorization of $$$3028$$$.

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

Determine whether $$$3028$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3028$$$ by $$${\color{green}2}$$$: $$$\frac{3028}{2} = {\color{red}1514}$$$.

Determine whether $$$1514$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1514$$$ by $$${\color{green}2}$$$: $$$\frac{1514}{2} = {\color{red}757}$$$.

The prime number $$${\color{green}757}$$$ has no other factors then $$$1$$$ and $$${\color{green}757}$$$: $$$\frac{757}{757} = {\color{red}1}$$$.

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: $$$3028 = 2^{2} \cdot 757$$$.

The prime factorization is $$$3028 = 2^{2} \cdot 757$$$A.