# Prime factorization of $1790$

The calculator will find the prime factorization of $1790$, 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 $1790$.

### Solution

Start with the number $2$.

Determine whether $1790$ is divisible by $2$.

It is divisible, thus, divide $1790$ by ${\color{green}2}$: $\frac{1790}{2} = {\color{red}895}$.

Determine whether $895$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $895$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $895$ is divisible by $5$.

It is divisible, thus, divide $895$ by ${\color{green}5}$: $\frac{895}{5} = {\color{red}179}$.

The prime number ${\color{green}179}$ has no other factors then $1$ and ${\color{green}179}$: $\frac{179}{179} = {\color{red}1}$.

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: $1790 = 2 \cdot 5 \cdot 179$.

The prime factorization is $1790 = 2 \cdot 5 \cdot 179$A.