# Prime factorization of $3372$

The calculator will find the prime factorization of $3372$, with steps shown.

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Find the prime factorization of $3372$.

### Solution

Start with the number $2$.

Determine whether $3372$ is divisible by $2$.

It is divisible, thus, divide $3372$ by ${\color{green}2}$: $\frac{3372}{2} = {\color{red}1686}$.

Determine whether $1686$ is divisible by $2$.

It is divisible, thus, divide $1686$ by ${\color{green}2}$: $\frac{1686}{2} = {\color{red}843}$.

Determine whether $843$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $843$ is divisible by $3$.

It is divisible, thus, divide $843$ by ${\color{green}3}$: $\frac{843}{3} = {\color{red}281}$.

The prime number ${\color{green}281}$ has no other factors then $1$ and ${\color{green}281}$: $\frac{281}{281} = {\color{red}1}$.

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: $3372 = 2^{2} \cdot 3 \cdot 281$.

The prime factorization is $3372 = 2^{2} \cdot 3 \cdot 281$A.