# Prime factorization of $876$

The calculator will find the prime factorization of $876$, with steps shown.

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Find the prime factorization of $876$.

### Solution

Start with the number $2$.

Determine whether $876$ is divisible by $2$.

It is divisible, thus, divide $876$ by ${\color{green}2}$: $\frac{876}{2} = {\color{red}438}$.

Determine whether $438$ is divisible by $2$.

It is divisible, thus, divide $438$ by ${\color{green}2}$: $\frac{438}{2} = {\color{red}219}$.

Determine whether $219$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $219$ is divisible by $3$.

It is divisible, thus, divide $219$ by ${\color{green}3}$: $\frac{219}{3} = {\color{red}73}$.

The prime number ${\color{green}73}$ has no other factors then $1$ and ${\color{green}73}$: $\frac{73}{73} = {\color{red}1}$.

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: $876 = 2^{2} \cdot 3 \cdot 73$.

The prime factorization is $876 = 2^{2} \cdot 3 \cdot 73$A.