# Prime factorization of $2152$

The calculator will find the prime factorization of $2152$, with steps shown.

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Find the prime factorization of $2152$.

### Solution

Start with the number $2$.

Determine whether $2152$ is divisible by $2$.

It is divisible, thus, divide $2152$ by ${\color{green}2}$: $\frac{2152}{2} = {\color{red}1076}$.

Determine whether $1076$ is divisible by $2$.

It is divisible, thus, divide $1076$ by ${\color{green}2}$: $\frac{1076}{2} = {\color{red}538}$.

Determine whether $538$ is divisible by $2$.

It is divisible, thus, divide $538$ by ${\color{green}2}$: $\frac{538}{2} = {\color{red}269}$.

The prime number ${\color{green}269}$ has no other factors then $1$ and ${\color{green}269}$: $\frac{269}{269} = {\color{red}1}$.

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: $2152 = 2^{3} \cdot 269$.

The prime factorization is $2152 = 2^{3} \cdot 269$A.