# Prime factorization of $4776$

The calculator will find the prime factorization of $4776$, 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 $4776$.

### Solution

Start with the number $2$.

Determine whether $4776$ is divisible by $2$.

It is divisible, thus, divide $4776$ by ${\color{green}2}$: $\frac{4776}{2} = {\color{red}2388}$.

Determine whether $2388$ is divisible by $2$.

It is divisible, thus, divide $2388$ by ${\color{green}2}$: $\frac{2388}{2} = {\color{red}1194}$.

Determine whether $1194$ is divisible by $2$.

It is divisible, thus, divide $1194$ by ${\color{green}2}$: $\frac{1194}{2} = {\color{red}597}$.

Determine whether $597$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $597$ is divisible by $3$.

It is divisible, thus, divide $597$ by ${\color{green}3}$: $\frac{597}{3} = {\color{red}199}$.

The prime number ${\color{green}199}$ has no other factors then $1$ and ${\color{green}199}$: $\frac{199}{199} = {\color{red}1}$.

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: $4776 = 2^{3} \cdot 3 \cdot 199$.

The prime factorization is $4776 = 2^{3} \cdot 3 \cdot 199$A.