Prime factorization of $$$3076$$$

Find the prime factorization of $$$3076$$$.

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

Determine whether $$$3076$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3076$$$ by $$${\color{green}2}$$$: $$$\frac{3076}{2} = {\color{red}1538}$$$.

Determine whether $$$1538$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1538$$$ by $$${\color{green}2}$$$: $$$\frac{1538}{2} = {\color{red}769}$$$.

The prime number $$${\color{green}769}$$$ has no other factors then $$$1$$$ and $$${\color{green}769}$$$: $$$\frac{769}{769} = {\color{red}1}$$$.

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: $$$3076 = 2^{2} \cdot 769$$$.

The prime factorization is $$$3076 = 2^{2} \cdot 769$$$A.