Prime factorization of $$$3092$$$

Find the prime factorization of $$$3092$$$.

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

Determine whether $$$3092$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3092$$$ by $$${\color{green}2}$$$: $$$\frac{3092}{2} = {\color{red}1546}$$$.

Determine whether $$$1546$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1546$$$ by $$${\color{green}2}$$$: $$$\frac{1546}{2} = {\color{red}773}$$$.

The prime number $$${\color{green}773}$$$ has no other factors then $$$1$$$ and $$${\color{green}773}$$$: $$$\frac{773}{773} = {\color{red}1}$$$.

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: $$$3092 = 2^{2} \cdot 773$$$.

The prime factorization is $$$3092 = 2^{2} \cdot 773$$$A.