# Prime factorization of $4780$

The calculator will find the prime factorization of $4780$, 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 $4780$.

### Solution

Start with the number $2$.

Determine whether $4780$ is divisible by $2$.

It is divisible, thus, divide $4780$ by ${\color{green}2}$: $\frac{4780}{2} = {\color{red}2390}$.

Determine whether $2390$ is divisible by $2$.

It is divisible, thus, divide $2390$ by ${\color{green}2}$: $\frac{2390}{2} = {\color{red}1195}$.

Determine whether $1195$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1195$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1195$ is divisible by $5$.

It is divisible, thus, divide $1195$ by ${\color{green}5}$: $\frac{1195}{5} = {\color{red}239}$.

The prime number ${\color{green}239}$ has no other factors then $1$ and ${\color{green}239}$: $\frac{239}{239} = {\color{red}1}$.

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: $4780 = 2^{2} \cdot 5 \cdot 239$.

The prime factorization is $4780 = 2^{2} \cdot 5 \cdot 239$A.