# Prime factorization of $880$

The calculator will find the prime factorization of $880$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $880$.

### Solution

Start with the number $2$.

Determine whether $880$ is divisible by $2$.

It is divisible, thus, divide $880$ by ${\color{green}2}$: $\frac{880}{2} = {\color{red}440}$.

Determine whether $440$ is divisible by $2$.

It is divisible, thus, divide $440$ by ${\color{green}2}$: $\frac{440}{2} = {\color{red}220}$.

Determine whether $220$ is divisible by $2$.

It is divisible, thus, divide $220$ by ${\color{green}2}$: $\frac{220}{2} = {\color{red}110}$.

Determine whether $110$ is divisible by $2$.

It is divisible, thus, divide $110$ by ${\color{green}2}$: $\frac{110}{2} = {\color{red}55}$.

Determine whether $55$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $55$ is divisible by $3$.

Since it is not divisible, move to the next prime number.

The next prime number is $5$.

Determine whether $55$ is divisible by $5$.

It is divisible, thus, divide $55$ by ${\color{green}5}$: $\frac{55}{5} = {\color{red}11}$.

The prime number ${\color{green}11}$ has no other factors then $1$ and ${\color{green}11}$: $\frac{11}{11} = {\color{red}1}$.

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: $880 = 2^{4} \cdot 5 \cdot 11$.

The prime factorization is $880 = 2^{4} \cdot 5 \cdot 11$A.