# Prime factorization of $2941$

The calculator will find the prime factorization of $2941$, with steps shown.

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Find the prime factorization of $2941$.

### Solution

Start with the number $2$.

Determine whether $2941$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2941$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $2941$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $2941$ is divisible by $7$.

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

The next prime number is $11$.

Determine whether $2941$ is divisible by $11$.

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

The next prime number is $13$.

Determine whether $2941$ is divisible by $13$.

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

The next prime number is $17$.

Determine whether $2941$ is divisible by $17$.

It is divisible, thus, divide $2941$ by ${\color{green}17}$: $\frac{2941}{17} = {\color{red}173}$.

The prime number ${\color{green}173}$ has no other factors then $1$ and ${\color{green}173}$: $\frac{173}{173} = {\color{red}1}$.

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: $2941 = 17 \cdot 173$.

The prime factorization is $2941 = 17 \cdot 173$A.