Prime factorization of $$$3032$$$

Find the prime factorization of $$$3032$$$.

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

Determine whether $$$3032$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3032$$$ by $$${\color{green}2}$$$: $$$\frac{3032}{2} = {\color{red}1516}$$$.

Determine whether $$$1516$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1516$$$ by $$${\color{green}2}$$$: $$$\frac{1516}{2} = {\color{red}758}$$$.

Determine whether $$$758$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$758$$$ by $$${\color{green}2}$$$: $$$\frac{758}{2} = {\color{red}379}$$$.

The prime number $$${\color{green}379}$$$ has no other factors then $$$1$$$ and $$${\color{green}379}$$$: $$$\frac{379}{379} = {\color{red}1}$$$.

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: $$$3032 = 2^{3} \cdot 379$$$.

The prime factorization is $$$3032 = 2^{3} \cdot 379$$$A.