Prime factorization of $$$4461$$$

Find the prime factorization of $$$4461$$$.

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

Determine whether $$$4461$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$4461$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$4461$$$ by $$${\color{green}3}$$$: $$$\frac{4461}{3} = {\color{red}1487}$$$.

The prime number $$${\color{green}1487}$$$ has no other factors then $$$1$$$ and $$${\color{green}1487}$$$: $$$\frac{1487}{1487} = {\color{red}1}$$$.

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: $$$4461 = 3 \cdot 1487$$$.

The prime factorization is $$$4461 = 3 \cdot 1487$$$A.