# Prime factorization of $2476$

The calculator will find the prime factorization of $2476$, with steps shown.

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Find the prime factorization of $2476$.

### Solution

Start with the number $2$.

Determine whether $2476$ is divisible by $2$.

It is divisible, thus, divide $2476$ by ${\color{green}2}$: $\frac{2476}{2} = {\color{red}1238}$.

Determine whether $1238$ is divisible by $2$.

It is divisible, thus, divide $1238$ by ${\color{green}2}$: $\frac{1238}{2} = {\color{red}619}$.

The prime number ${\color{green}619}$ has no other factors then $1$ and ${\color{green}619}$: $\frac{619}{619} = {\color{red}1}$.

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: $2476 = 2^{2} \cdot 619$.

The prime factorization is $2476 = 2^{2} \cdot 619$A.