# Prime factorization of $1384$

The calculator will find the prime factorization of $1384$, with steps shown.

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Find the prime factorization of $1384$.

### Solution

Start with the number $2$.

Determine whether $1384$ is divisible by $2$.

It is divisible, thus, divide $1384$ by ${\color{green}2}$: $\frac{1384}{2} = {\color{red}692}$.

Determine whether $692$ is divisible by $2$.

It is divisible, thus, divide $692$ by ${\color{green}2}$: $\frac{692}{2} = {\color{red}346}$.

Determine whether $346$ is divisible by $2$.

It is divisible, thus, divide $346$ by ${\color{green}2}$: $\frac{346}{2} = {\color{red}173}$.

The prime number ${\color{green}173}$ has no other factors then $1$ and ${\color{green}173}$: $\frac{173}{173} = {\color{red}1}$.

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: $1384 = 2^{3} \cdot 173$.

The prime factorization is $1384 = 2^{3} \cdot 173$A.