# Prime factorization of $3355$

The calculator will find the prime factorization of $3355$, 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 $3355$.

### Solution

Start with the number $2$.

Determine whether $3355$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3355$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $3355$ is divisible by $5$.

It is divisible, thus, divide $3355$ by ${\color{green}5}$: $\frac{3355}{5} = {\color{red}671}$.

Determine whether $671$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $671$ is divisible by $7$.

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

The next prime number is $11$.

Determine whether $671$ is divisible by $11$.

It is divisible, thus, divide $671$ by ${\color{green}11}$: $\frac{671}{11} = {\color{red}61}$.

The prime number ${\color{green}61}$ has no other factors then $1$ and ${\color{green}61}$: $\frac{61}{61} = {\color{red}1}$.

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: $3355 = 5 \cdot 11 \cdot 61$.

The prime factorization is $3355 = 5 \cdot 11 \cdot 61$A.