# Prime factorization of $2097$

The calculator will find the prime factorization of $2097$, with steps shown.

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Find the prime factorization of $2097$.

### Solution

Start with the number $2$.

Determine whether $2097$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2097$ is divisible by $3$.

It is divisible, thus, divide $2097$ by ${\color{green}3}$: $\frac{2097}{3} = {\color{red}699}$.

Determine whether $699$ is divisible by $3$.

It is divisible, thus, divide $699$ by ${\color{green}3}$: $\frac{699}{3} = {\color{red}233}$.

The prime number ${\color{green}233}$ has no other factors then $1$ and ${\color{green}233}$: $\frac{233}{233} = {\color{red}1}$.

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: $2097 = 3^{2} \cdot 233$.

The prime factorization is $2097 = 3^{2} \cdot 233$A.