Prime factorization of $$$2661$$$

Find the prime factorization of $$$2661$$$.

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

Determine whether $$$2661$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$2661$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$2661$$$ by $$${\color{green}3}$$$: $$$\frac{2661}{3} = {\color{red}887}$$$.

The prime number $$${\color{green}887}$$$ has no other factors then $$$1$$$ and $$${\color{green}887}$$$: $$$\frac{887}{887} = {\color{red}1}$$$.

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: $$$2661 = 3 \cdot 887$$$.

The prime factorization is $$$2661 = 3 \cdot 887$$$A.