# Prime factorization of $1345$

The calculator will find the prime factorization of $1345$, 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 $1345$.

### Solution

Start with the number $2$.

Determine whether $1345$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1345$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1345$ is divisible by $5$.

It is divisible, thus, divide $1345$ by ${\color{green}5}$: $\frac{1345}{5} = {\color{red}269}$.

The prime number ${\color{green}269}$ has no other factors then $1$ and ${\color{green}269}$: $\frac{269}{269} = {\color{red}1}$.

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: $1345 = 5 \cdot 269$.

The prime factorization is $1345 = 5 \cdot 269$A.