# Prime factorization of $4024$

The calculator will find the prime factorization of $4024$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $4024$.

### Solution

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.