# Prime factorization of $4660$

The calculator will find the prime factorization of $4660$, with steps shown.

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Find the prime factorization of $4660$.

### Solution

Start with the number $2$.

Determine whether $4660$ is divisible by $2$.

It is divisible, thus, divide $4660$ by ${\color{green}2}$: $\frac{4660}{2} = {\color{red}2330}$.

Determine whether $2330$ is divisible by $2$.

It is divisible, thus, divide $2330$ by ${\color{green}2}$: $\frac{2330}{2} = {\color{red}1165}$.

Determine whether $1165$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1165$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1165$ is divisible by $5$.

It is divisible, thus, divide $1165$ by ${\color{green}5}$: $\frac{1165}{5} = {\color{red}233}$.

The prime number ${\color{green}233}$ has no other factors then $1$ and ${\color{green}233}$: $\frac{233}{233} = {\color{red}1}$.

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: $4660 = 2^{2} \cdot 5 \cdot 233$.

The prime factorization is $4660 = 2^{2} \cdot 5 \cdot 233$A.