# Prime factorization of $1376$

The calculator will find the prime factorization of $1376$, with steps shown.

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Find the prime factorization of $1376$.

### Solution

Start with the number $2$.

Determine whether $1376$ is divisible by $2$.

It is divisible, thus, divide $1376$ by ${\color{green}2}$: $\frac{1376}{2} = {\color{red}688}$.

Determine whether $688$ is divisible by $2$.

It is divisible, thus, divide $688$ by ${\color{green}2}$: $\frac{688}{2} = {\color{red}344}$.

Determine whether $344$ is divisible by $2$.

It is divisible, thus, divide $344$ by ${\color{green}2}$: $\frac{344}{2} = {\color{red}172}$.

Determine whether $172$ is divisible by $2$.

It is divisible, thus, divide $172$ by ${\color{green}2}$: $\frac{172}{2} = {\color{red}86}$.

Determine whether $86$ is divisible by $2$.

It is divisible, thus, divide $86$ by ${\color{green}2}$: $\frac{86}{2} = {\color{red}43}$.

The prime number ${\color{green}43}$ has no other factors then $1$ and ${\color{green}43}$: $\frac{43}{43} = {\color{red}1}$.

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: $1376 = 2^{5} \cdot 43$.

The prime factorization is $1376 = 2^{5} \cdot 43$A.