# Prime factorization of $4938$

The calculator will find the prime factorization of $4938$, with steps shown.

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Find the prime factorization of $4938$.

### Solution

Start with the number $2$.

Determine whether $4938$ is divisible by $2$.

It is divisible, thus, divide $4938$ by ${\color{green}2}$: $\frac{4938}{2} = {\color{red}2469}$.

Determine whether $2469$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2469$ is divisible by $3$.

It is divisible, thus, divide $2469$ by ${\color{green}3}$: $\frac{2469}{3} = {\color{red}823}$.

The prime number ${\color{green}823}$ has no other factors then $1$ and ${\color{green}823}$: $\frac{823}{823} = {\color{red}1}$.

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: $4938 = 2 \cdot 3 \cdot 823$.

The prime factorization is $4938 = 2 \cdot 3 \cdot 823$A.