# Prime factorization of $3764$

The calculator will find the prime factorization of $3764$, with steps shown.

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Find the prime factorization of $3764$.

### Solution

Start with the number $2$.

Determine whether $3764$ is divisible by $2$.

It is divisible, thus, divide $3764$ by ${\color{green}2}$: $\frac{3764}{2} = {\color{red}1882}$.

Determine whether $1882$ is divisible by $2$.

It is divisible, thus, divide $1882$ by ${\color{green}2}$: $\frac{1882}{2} = {\color{red}941}$.

The prime number ${\color{green}941}$ has no other factors then $1$ and ${\color{green}941}$: $\frac{941}{941} = {\color{red}1}$.

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: $3764 = 2^{2} \cdot 941$.

The prime factorization is $3764 = 2^{2} \cdot 941$A.