# Prime factorization of $2144$

The calculator will find the prime factorization of $2144$, with steps shown.

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Find the prime factorization of $2144$.

### Solution

Start with the number $2$.

Determine whether $2144$ is divisible by $2$.

It is divisible, thus, divide $2144$ by ${\color{green}2}$: $\frac{2144}{2} = {\color{red}1072}$.

Determine whether $1072$ is divisible by $2$.

It is divisible, thus, divide $1072$ by ${\color{green}2}$: $\frac{1072}{2} = {\color{red}536}$.

Determine whether $536$ is divisible by $2$.

It is divisible, thus, divide $536$ by ${\color{green}2}$: $\frac{536}{2} = {\color{red}268}$.

Determine whether $268$ is divisible by $2$.

It is divisible, thus, divide $268$ by ${\color{green}2}$: $\frac{268}{2} = {\color{red}134}$.

Determine whether $134$ is divisible by $2$.

It is divisible, thus, divide $134$ by ${\color{green}2}$: $\frac{134}{2} = {\color{red}67}$.

The prime number ${\color{green}67}$ has no other factors then $1$ and ${\color{green}67}$: $\frac{67}{67} = {\color{red}1}$.

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: $2144 = 2^{5} \cdot 67$.

The prime factorization is $2144 = 2^{5} \cdot 67$A.