Prime factorization of $$$3044$$$

Find the prime factorization of $$$3044$$$.

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

Determine whether $$$3044$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3044$$$ by $$${\color{green}2}$$$: $$$\frac{3044}{2} = {\color{red}1522}$$$.

Determine whether $$$1522$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1522$$$ by $$${\color{green}2}$$$: $$$\frac{1522}{2} = {\color{red}761}$$$.

The prime number $$${\color{green}761}$$$ has no other factors then $$$1$$$ and $$${\color{green}761}$$$: $$$\frac{761}{761} = {\color{red}1}$$$.

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: $$$3044 = 2^{2} \cdot 761$$$.

The prime factorization is $$$3044 = 2^{2} \cdot 761$$$A.