# Prime factorization of $4311$

The calculator will find the prime factorization of $4311$, with steps shown.

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Find the prime factorization of $4311$.

### Solution

Start with the number $2$.

Determine whether $4311$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4311$ is divisible by $3$.

It is divisible, thus, divide $4311$ by ${\color{green}3}$: $\frac{4311}{3} = {\color{red}1437}$.

Determine whether $1437$ is divisible by $3$.

It is divisible, thus, divide $1437$ by ${\color{green}3}$: $\frac{1437}{3} = {\color{red}479}$.

The prime number ${\color{green}479}$ has no other factors then $1$ and ${\color{green}479}$: $\frac{479}{479} = {\color{red}1}$.

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: $4311 = 3^{2} \cdot 479$.

The prime factorization is $4311 = 3^{2} \cdot 479$A.