# Prime factorization of $2736$

The calculator will find the prime factorization of $2736$, 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 $2736$.

### Solution

Start with the number $2$.

Determine whether $2736$ is divisible by $2$.

It is divisible, thus, divide $2736$ by ${\color{green}2}$: $\frac{2736}{2} = {\color{red}1368}$.

Determine whether $1368$ is divisible by $2$.

It is divisible, thus, divide $1368$ by ${\color{green}2}$: $\frac{1368}{2} = {\color{red}684}$.

Determine whether $684$ is divisible by $2$.

It is divisible, thus, divide $684$ by ${\color{green}2}$: $\frac{684}{2} = {\color{red}342}$.

Determine whether $342$ is divisible by $2$.

It is divisible, thus, divide $342$ by ${\color{green}2}$: $\frac{342}{2} = {\color{red}171}$.

Determine whether $171$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $171$ is divisible by $3$.

It is divisible, thus, divide $171$ by ${\color{green}3}$: $\frac{171}{3} = {\color{red}57}$.

Determine whether $57$ is divisible by $3$.

It is divisible, thus, divide $57$ by ${\color{green}3}$: $\frac{57}{3} = {\color{red}19}$.

The prime number ${\color{green}19}$ has no other factors then $1$ and ${\color{green}19}$: $\frac{19}{19} = {\color{red}1}$.

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: $2736 = 2^{4} \cdot 3^{2} \cdot 19$.

The prime factorization is $2736 = 2^{4} \cdot 3^{2} \cdot 19$A.