# Prime factorization of $4203$

The calculator will find the prime factorization of $4203$, 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 $4203$.

### Solution

Start with the number $2$.

Determine whether $4203$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4203$ is divisible by $3$.

It is divisible, thus, divide $4203$ by ${\color{green}3}$: $\frac{4203}{3} = {\color{red}1401}$.

Determine whether $1401$ is divisible by $3$.

It is divisible, thus, divide $1401$ by ${\color{green}3}$: $\frac{1401}{3} = {\color{red}467}$.

The prime number ${\color{green}467}$ has no other factors then $1$ and ${\color{green}467}$: $\frac{467}{467} = {\color{red}1}$.

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: $4203 = 3^{2} \cdot 467$.

The prime factorization is $4203 = 3^{2} \cdot 467$A.