# Prime factorization of $4098$

The calculator will find the prime factorization of $4098$, with steps shown.

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Find the prime factorization of $4098$.

### Solution

Start with the number $2$.

Determine whether $4098$ is divisible by $2$.

It is divisible, thus, divide $4098$ by ${\color{green}2}$: $\frac{4098}{2} = {\color{red}2049}$.

Determine whether $2049$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2049$ is divisible by $3$.

It is divisible, thus, divide $2049$ by ${\color{green}3}$: $\frac{2049}{3} = {\color{red}683}$.

The prime number ${\color{green}683}$ has no other factors then $1$ and ${\color{green}683}$: $\frac{683}{683} = {\color{red}1}$.

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: $4098 = 2 \cdot 3 \cdot 683$.

The prime factorization is $4098 = 2 \cdot 3 \cdot 683$A.