Prime factorization of $$$4869$$$

Find the prime factorization of $$$4869$$$.

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

Determine whether $$$4869$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$4869$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$4869$$$ by $$${\color{green}3}$$$: $$$\frac{4869}{3} = {\color{red}1623}$$$.

Determine whether $$$1623$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$1623$$$ by $$${\color{green}3}$$$: $$$\frac{1623}{3} = {\color{red}541}$$$.

The prime number $$${\color{green}541}$$$ has no other factors then $$$1$$$ and $$${\color{green}541}$$$: $$$\frac{541}{541} = {\color{red}1}$$$.

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: $$$4869 = 3^{2} \cdot 541$$$.

The prime factorization is $$$4869 = 3^{2} \cdot 541$$$A.