# Prime factorization of $1096$

The calculator will find the prime factorization of $1096$, with steps shown.

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Find the prime factorization of $1096$.

### Solution

Start with the number $2$.

Determine whether $1096$ is divisible by $2$.

It is divisible, thus, divide $1096$ by ${\color{green}2}$: $\frac{1096}{2} = {\color{red}548}$.

Determine whether $548$ is divisible by $2$.

It is divisible, thus, divide $548$ by ${\color{green}2}$: $\frac{548}{2} = {\color{red}274}$.

Determine whether $274$ is divisible by $2$.

It is divisible, thus, divide $274$ by ${\color{green}2}$: $\frac{274}{2} = {\color{red}137}$.

The prime number ${\color{green}137}$ has no other factors then $1$ and ${\color{green}137}$: $\frac{137}{137} = {\color{red}1}$.

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: $1096 = 2^{3} \cdot 137$.

The prime factorization is $1096 = 2^{3} \cdot 137$A.