Prime factorization of $$$4024$$$

Find the prime factorization of $$$4024$$$.

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

Determine whether $$$4024$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4024$$$ by $$${\color{green}2}$$$: $$$\frac{4024}{2} = {\color{red}2012}$$$.

Determine whether $$$2012$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2012$$$ by $$${\color{green}2}$$$: $$$\frac{2012}{2} = {\color{red}1006}$$$.

Determine whether $$$1006$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1006$$$ by $$${\color{green}2}$$$: $$$\frac{1006}{2} = {\color{red}503}$$$.

The prime number $$${\color{green}503}$$$ has no other factors then $$$1$$$ and $$${\color{green}503}$$$: $$$\frac{503}{503} = {\color{red}1}$$$.

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: $$$4024 = 2^{3} \cdot 503$$$.

The prime factorization is $$$4024 = 2^{3} \cdot 503$$$A.