# Prime factorization of $1757$

The calculator will find the prime factorization of $1757$, 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 $1757$.

### Solution

Start with the number $2$.

Determine whether $1757$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1757$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1757$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $1757$ is divisible by $7$.

It is divisible, thus, divide $1757$ by ${\color{green}7}$: $\frac{1757}{7} = {\color{red}251}$.

The prime number ${\color{green}251}$ has no other factors then $1$ and ${\color{green}251}$: $\frac{251}{251} = {\color{red}1}$.

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: $1757 = 7 \cdot 251$.

The prime factorization is $1757 = 7 \cdot 251$A.