# Prime factorization of $4741$

The calculator will find the prime factorization of $4741$, with steps shown.

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Find the prime factorization of $4741$.

### Solution

Start with the number $2$.

Determine whether $4741$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4741$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $4741$ is divisible by $5$.

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

The next prime number is $7$.

Determine whether $4741$ is divisible by $7$.

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

The next prime number is $11$.

Determine whether $4741$ is divisible by $11$.

It is divisible, thus, divide $4741$ by ${\color{green}11}$: $\frac{4741}{11} = {\color{red}431}$.

The prime number ${\color{green}431}$ has no other factors then $1$ and ${\color{green}431}$: $\frac{431}{431} = {\color{red}1}$.

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: $4741 = 11 \cdot 431$.

The prime factorization is $4741 = 11 \cdot 431$A.