# Prime factorization of $2168$

The calculator will find the prime factorization of $2168$, with steps shown.

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Find the prime factorization of $2168$.

### Solution

Start with the number $2$.

Determine whether $2168$ is divisible by $2$.

It is divisible, thus, divide $2168$ by ${\color{green}2}$: $\frac{2168}{2} = {\color{red}1084}$.

Determine whether $1084$ is divisible by $2$.

It is divisible, thus, divide $1084$ by ${\color{green}2}$: $\frac{1084}{2} = {\color{red}542}$.

Determine whether $542$ is divisible by $2$.

It is divisible, thus, divide $542$ by ${\color{green}2}$: $\frac{542}{2} = {\color{red}271}$.

The prime number ${\color{green}271}$ has no other factors then $1$ and ${\color{green}271}$: $\frac{271}{271} = {\color{red}1}$.

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: $2168 = 2^{3} \cdot 271$.

The prime factorization is $2168 = 2^{3} \cdot 271$A.