# Prime factorization of $2493$

The calculator will find the prime factorization of $2493$, with steps shown.

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Find the prime factorization of $2493$.

### Solution

Start with the number $2$.

Determine whether $2493$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2493$ is divisible by $3$.

It is divisible, thus, divide $2493$ by ${\color{green}3}$: $\frac{2493}{3} = {\color{red}831}$.

Determine whether $831$ is divisible by $3$.

It is divisible, thus, divide $831$ by ${\color{green}3}$: $\frac{831}{3} = {\color{red}277}$.

The prime number ${\color{green}277}$ has no other factors then $1$ and ${\color{green}277}$: $\frac{277}{277} = {\color{red}1}$.

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: $2493 = 3^{2} \cdot 277$.

The prime factorization is $2493 = 3^{2} \cdot 277$A.