Prime factorization of $$$2487$$$

Find the prime factorization of $$$2487$$$.

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

Determine whether $$$2487$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$2487$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$2487$$$ by $$${\color{green}3}$$$: $$$\frac{2487}{3} = {\color{red}829}$$$.

The prime number $$${\color{green}829}$$$ has no other factors then $$$1$$$ and $$${\color{green}829}$$$: $$$\frac{829}{829} = {\color{red}1}$$$.

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: $$$2487 = 3 \cdot 829$$$.

The prime factorization is $$$2487 = 3 \cdot 829$$$A.