Prime factorization of $$$3594$$$

Find the prime factorization of $$$3594$$$.

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.