# Prime factorization of $2824$

The calculator will find the prime factorization of $2824$, 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 $2824$.

### Solution

Start with the number $2$.

Determine whether $2824$ is divisible by $2$.

It is divisible, thus, divide $2824$ by ${\color{green}2}$: $\frac{2824}{2} = {\color{red}1412}$.

Determine whether $1412$ is divisible by $2$.

It is divisible, thus, divide $1412$ by ${\color{green}2}$: $\frac{1412}{2} = {\color{red}706}$.

Determine whether $706$ is divisible by $2$.

It is divisible, thus, divide $706$ by ${\color{green}2}$: $\frac{706}{2} = {\color{red}353}$.

The prime number ${\color{green}353}$ has no other factors then $1$ and ${\color{green}353}$: $\frac{353}{353} = {\color{red}1}$.

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: $2824 = 2^{3} \cdot 353$.

The prime factorization is $2824 = 2^{3} \cdot 353$A.