# Prime factorization of $885$

The calculator will find the prime factorization of $885$, with steps shown.

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Find the prime factorization of $885$.

### Solution

Start with the number $2$.

Determine whether $885$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $885$ is divisible by $3$.

It is divisible, thus, divide $885$ by ${\color{green}3}$: $\frac{885}{3} = {\color{red}295}$.

Determine whether $295$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $295$ is divisible by $5$.

It is divisible, thus, divide $295$ by ${\color{green}5}$: $\frac{295}{5} = {\color{red}59}$.

The prime number ${\color{green}59}$ has no other factors then $1$ and ${\color{green}59}$: $\frac{59}{59} = {\color{red}1}$.

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: $885 = 3 \cdot 5 \cdot 59$.

The prime factorization is $885 = 3 \cdot 5 \cdot 59$A.