# Prime factorization of $4992$

The calculator will find the prime factorization of $4992$, 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 $4992$.

### Solution

Start with the number $2$.

Determine whether $4992$ is divisible by $2$.

It is divisible, thus, divide $4992$ by ${\color{green}2}$: $\frac{4992}{2} = {\color{red}2496}$.

Determine whether $2496$ is divisible by $2$.

It is divisible, thus, divide $2496$ by ${\color{green}2}$: $\frac{2496}{2} = {\color{red}1248}$.

Determine whether $1248$ is divisible by $2$.

It is divisible, thus, divide $1248$ by ${\color{green}2}$: $\frac{1248}{2} = {\color{red}624}$.

Determine whether $624$ is divisible by $2$.

It is divisible, thus, divide $624$ by ${\color{green}2}$: $\frac{624}{2} = {\color{red}312}$.

Determine whether $312$ is divisible by $2$.

It is divisible, thus, divide $312$ by ${\color{green}2}$: $\frac{312}{2} = {\color{red}156}$.

Determine whether $156$ is divisible by $2$.

It is divisible, thus, divide $156$ by ${\color{green}2}$: $\frac{156}{2} = {\color{red}78}$.

Determine whether $78$ is divisible by $2$.

It is divisible, thus, divide $78$ by ${\color{green}2}$: $\frac{78}{2} = {\color{red}39}$.

Determine whether $39$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $39$ is divisible by $3$.

It is divisible, thus, divide $39$ by ${\color{green}3}$: $\frac{39}{3} = {\color{red}13}$.

The prime number ${\color{green}13}$ has no other factors then $1$ and ${\color{green}13}$: $\frac{13}{13} = {\color{red}1}$.

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: $4992 = 2^{7} \cdot 3 \cdot 13$.

The prime factorization is $4992 = 2^{7} \cdot 3 \cdot 13$A.