# Prime factorization of $2630$

The calculator will find the prime factorization of $2630$, with steps shown.

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Find the prime factorization of $2630$.

### Solution

Start with the number $2$.

Determine whether $2630$ is divisible by $2$.

It is divisible, thus, divide $2630$ by ${\color{green}2}$: $\frac{2630}{2} = {\color{red}1315}$.

Determine whether $1315$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1315$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1315$ is divisible by $5$.

It is divisible, thus, divide $1315$ by ${\color{green}5}$: $\frac{1315}{5} = {\color{red}263}$.

The prime number ${\color{green}263}$ has no other factors then $1$ and ${\color{green}263}$: $\frac{263}{263} = {\color{red}1}$.

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: $2630 = 2 \cdot 5 \cdot 263$.

The prime factorization is $2630 = 2 \cdot 5 \cdot 263$A.