# Prime factorization of $3385$

The calculator will find the prime factorization of $3385$, with steps shown.

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Find the prime factorization of $3385$.

### Solution

Start with the number $2$.

Determine whether $3385$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3385$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $3385$ is divisible by $5$.

It is divisible, thus, divide $3385$ by ${\color{green}5}$: $\frac{3385}{5} = {\color{red}677}$.

The prime number ${\color{green}677}$ has no other factors then $1$ and ${\color{green}677}$: $\frac{677}{677} = {\color{red}1}$.

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: $3385 = 5 \cdot 677$.

The prime factorization is $3385 = 5 \cdot 677$A.