# Prime factorization of $4772$

The calculator will find the prime factorization of $4772$, with steps shown.

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Find the prime factorization of $4772$.

### Solution

Start with the number $2$.

Determine whether $4772$ is divisible by $2$.

It is divisible, thus, divide $4772$ by ${\color{green}2}$: $\frac{4772}{2} = {\color{red}2386}$.

Determine whether $2386$ is divisible by $2$.

It is divisible, thus, divide $2386$ by ${\color{green}2}$: $\frac{2386}{2} = {\color{red}1193}$.

The prime number ${\color{green}1193}$ has no other factors then $1$ and ${\color{green}1193}$: $\frac{1193}{1193} = {\color{red}1}$.

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: $4772 = 2^{2} \cdot 1193$.

The prime factorization is $4772 = 2^{2} \cdot 1193$A.