# Prime factorization of $4996$

The calculator will find the prime factorization of $4996$, 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 $4996$.

### Solution

Start with the number $2$.

Determine whether $4996$ is divisible by $2$.

It is divisible, thus, divide $4996$ by ${\color{green}2}$: $\frac{4996}{2} = {\color{red}2498}$.

Determine whether $2498$ is divisible by $2$.

It is divisible, thus, divide $2498$ by ${\color{green}2}$: $\frac{2498}{2} = {\color{red}1249}$.

The prime number ${\color{green}1249}$ has no other factors then $1$ and ${\color{green}1249}$: $\frac{1249}{1249} = {\color{red}1}$.

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: $4996 = 2^{2} \cdot 1249$.

The prime factorization is $4996 = 2^{2} \cdot 1249$A.