# Prime factorization of $4168$

The calculator will find the prime factorization of $4168$, 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 $4168$.

### Solution

Start with the number $2$.

Determine whether $4168$ is divisible by $2$.

It is divisible, thus, divide $4168$ by ${\color{green}2}$: $\frac{4168}{2} = {\color{red}2084}$.

Determine whether $2084$ is divisible by $2$.

It is divisible, thus, divide $2084$ by ${\color{green}2}$: $\frac{2084}{2} = {\color{red}1042}$.

Determine whether $1042$ is divisible by $2$.

It is divisible, thus, divide $1042$ by ${\color{green}2}$: $\frac{1042}{2} = {\color{red}521}$.

The prime number ${\color{green}521}$ has no other factors then $1$ and ${\color{green}521}$: $\frac{521}{521} = {\color{red}1}$.

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: $4168 = 2^{3} \cdot 521$.

The prime factorization is $4168 = 2^{3} \cdot 521$A.