# Prime factorization of $3885$

The calculator will find the prime factorization of $3885$, 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 $3885$.

### Solution

Start with the number $2$.

Determine whether $3885$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3885$ is divisible by $3$.

It is divisible, thus, divide $3885$ by ${\color{green}3}$: $\frac{3885}{3} = {\color{red}1295}$.

Determine whether $1295$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1295$ is divisible by $5$.

It is divisible, thus, divide $1295$ by ${\color{green}5}$: $\frac{1295}{5} = {\color{red}259}$.

Determine whether $259$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $259$ is divisible by $7$.

It is divisible, thus, divide $259$ by ${\color{green}7}$: $\frac{259}{7} = {\color{red}37}$.

The prime number ${\color{green}37}$ has no other factors then $1$ and ${\color{green}37}$: $\frac{37}{37} = {\color{red}1}$.

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: $3885 = 3 \cdot 5 \cdot 7 \cdot 37$.

The prime factorization is $3885 = 3 \cdot 5 \cdot 7 \cdot 37$A.