# Prime factorization of $3176$

The calculator will find the prime factorization of $3176$, with steps shown.

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Find the prime factorization of $3176$.

### Solution

Start with the number $2$.

Determine whether $3176$ is divisible by $2$.

It is divisible, thus, divide $3176$ by ${\color{green}2}$: $\frac{3176}{2} = {\color{red}1588}$.

Determine whether $1588$ is divisible by $2$.

It is divisible, thus, divide $1588$ by ${\color{green}2}$: $\frac{1588}{2} = {\color{red}794}$.

Determine whether $794$ is divisible by $2$.

It is divisible, thus, divide $794$ by ${\color{green}2}$: $\frac{794}{2} = {\color{red}397}$.

The prime number ${\color{green}397}$ has no other factors then $1$ and ${\color{green}397}$: $\frac{397}{397} = {\color{red}1}$.

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: $3176 = 2^{3} \cdot 397$.

The prime factorization is $3176 = 2^{3} \cdot 397$A.