Prime factorization of $$$3669$$$

Find the prime factorization of $$$3669$$$.

Start with the number $$$2$$$.

Determine whether $$$3669$$$ is divisible by $$$2$$$.

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

The next prime number is $$$3$$$.

Determine whether $$$3669$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$3669$$$ by $$${\color{green}3}$$$: $$$\frac{3669}{3} = {\color{red}1223}$$$.

The prime number $$${\color{green}1223}$$$ has no other factors then $$$1$$$ and $$${\color{green}1223}$$$: $$$\frac{1223}{1223} = {\color{red}1}$$$.

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: $$$3669 = 3 \cdot 1223$$$.

The prime factorization is $$$3669 = 3 \cdot 1223$$$A.