# Prime factorization of $3594$

The calculator will find the prime factorization of $3594$, with steps shown.

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Find the prime factorization of $3594$.

### Solution

Start with the number $2$.

Determine whether $3594$ is divisible by $2$.

It is divisible, thus, divide $3594$ by ${\color{green}2}$: $\frac{3594}{2} = {\color{red}1797}$.

Determine whether $1797$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1797$ is divisible by $3$.

It is divisible, thus, divide $1797$ by ${\color{green}3}$: $\frac{1797}{3} = {\color{red}599}$.

The prime number ${\color{green}599}$ has no other factors then $1$ and ${\color{green}599}$: $\frac{599}{599} = {\color{red}1}$.

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: $3594 = 2 \cdot 3 \cdot 599$.

The prime factorization is $3594 = 2 \cdot 3 \cdot 599$A.