Prime factorization of $$$3282$$$

The calculator will find the prime factorization of $$$3282$$$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the prime factorization of $$$3282$$$.

Solution

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

Determine whether $$$3282$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3282$$$ by $$${\color{green}2}$$$: $$$\frac{3282}{2} = {\color{red}1641}$$$.

Determine whether $$$1641$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$1641$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$1641$$$ by $$${\color{green}3}$$$: $$$\frac{1641}{3} = {\color{red}547}$$$.

The prime number $$${\color{green}547}$$$ has no other factors then $$$1$$$ and $$${\color{green}547}$$$: $$$\frac{547}{547} = {\color{red}1}$$$.

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: $$$3282 = 2 \cdot 3 \cdot 547$$$.

Answer

The prime factorization is $$$3282 = 2 \cdot 3 \cdot 547$$$A.