# Prime factorization of $2620$

The calculator will find the prime factorization of $2620$, with steps shown.

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Find the prime factorization of $2620$.

### Solution

Start with the number $2$.

Determine whether $2620$ is divisible by $2$.

It is divisible, thus, divide $2620$ by ${\color{green}2}$: $\frac{2620}{2} = {\color{red}1310}$.

Determine whether $1310$ is divisible by $2$.

It is divisible, thus, divide $1310$ by ${\color{green}2}$: $\frac{1310}{2} = {\color{red}655}$.

Determine whether $655$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $655$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $655$ is divisible by $5$.

It is divisible, thus, divide $655$ by ${\color{green}5}$: $\frac{655}{5} = {\color{red}131}$.

The prime number ${\color{green}131}$ has no other factors then $1$ and ${\color{green}131}$: $\frac{131}{131} = {\color{red}1}$.

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: $2620 = 2^{2} \cdot 5 \cdot 131$.

The prime factorization is $2620 = 2^{2} \cdot 5 \cdot 131$A.