# Prime factorization of $4506$

The calculator will find the prime factorization of $4506$, 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 $4506$.

### Solution

Start with the number $2$.

Determine whether $4506$ is divisible by $2$.

It is divisible, thus, divide $4506$ by ${\color{green}2}$: $\frac{4506}{2} = {\color{red}2253}$.

Determine whether $2253$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2253$ is divisible by $3$.

It is divisible, thus, divide $2253$ by ${\color{green}3}$: $\frac{2253}{3} = {\color{red}751}$.

The prime number ${\color{green}751}$ has no other factors then $1$ and ${\color{green}751}$: $\frac{751}{751} = {\color{red}1}$.

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: $4506 = 2 \cdot 3 \cdot 751$.

The prime factorization is $4506 = 2 \cdot 3 \cdot 751$A.