# Prime factorization of $2344$

The calculator will find the prime factorization of $2344$, with steps shown.

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Find the prime factorization of $2344$.

### Solution

Start with the number $2$.

Determine whether $2344$ is divisible by $2$.

It is divisible, thus, divide $2344$ by ${\color{green}2}$: $\frac{2344}{2} = {\color{red}1172}$.

Determine whether $1172$ is divisible by $2$.

It is divisible, thus, divide $1172$ by ${\color{green}2}$: $\frac{1172}{2} = {\color{red}586}$.

Determine whether $586$ is divisible by $2$.

It is divisible, thus, divide $586$ by ${\color{green}2}$: $\frac{586}{2} = {\color{red}293}$.

The prime number ${\color{green}293}$ has no other factors then $1$ and ${\color{green}293}$: $\frac{293}{293} = {\color{red}1}$.

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: $2344 = 2^{3} \cdot 293$.

The prime factorization is $2344 = 2^{3} \cdot 293$A.