# Prime factorization of $3342$

The calculator will find the prime factorization of $3342$, 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.

Find the prime factorization of $3342$.

### Solution

Start with the number $2$.

Determine whether $3342$ is divisible by $2$.

It is divisible, thus, divide $3342$ by ${\color{green}2}$: $\frac{3342}{2} = {\color{red}1671}$.

Determine whether $1671$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1671$ is divisible by $3$.

It is divisible, thus, divide $1671$ by ${\color{green}3}$: $\frac{1671}{3} = {\color{red}557}$.

The prime number ${\color{green}557}$ has no other factors then $1$ and ${\color{green}557}$: $\frac{557}{557} = {\color{red}1}$.

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: $3342 = 2 \cdot 3 \cdot 557$.

The prime factorization is $3342 = 2 \cdot 3 \cdot 557$A.