# Prime factorization of $976$

The calculator will find the prime factorization of $976$, with steps shown.

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Find the prime factorization of $976$.

### Solution

Start with the number $2$.

Determine whether $976$ is divisible by $2$.

It is divisible, thus, divide $976$ by ${\color{green}2}$: $\frac{976}{2} = {\color{red}488}$.

Determine whether $488$ is divisible by $2$.

It is divisible, thus, divide $488$ by ${\color{green}2}$: $\frac{488}{2} = {\color{red}244}$.

Determine whether $244$ is divisible by $2$.

It is divisible, thus, divide $244$ by ${\color{green}2}$: $\frac{244}{2} = {\color{red}122}$.

Determine whether $122$ is divisible by $2$.

It is divisible, thus, divide $122$ by ${\color{green}2}$: $\frac{122}{2} = {\color{red}61}$.

The prime number ${\color{green}61}$ has no other factors then $1$ and ${\color{green}61}$: $\frac{61}{61} = {\color{red}1}$.

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: $976 = 2^{4} \cdot 61$.

The prime factorization is $976 = 2^{4} \cdot 61$A.