# Prime factorization of $3512$

The calculator will find the prime factorization of $3512$, with steps shown.

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Find the prime factorization of $3512$.

### Solution

Start with the number $2$.

Determine whether $3512$ is divisible by $2$.

It is divisible, thus, divide $3512$ by ${\color{green}2}$: $\frac{3512}{2} = {\color{red}1756}$.

Determine whether $1756$ is divisible by $2$.

It is divisible, thus, divide $1756$ by ${\color{green}2}$: $\frac{1756}{2} = {\color{red}878}$.

Determine whether $878$ is divisible by $2$.

It is divisible, thus, divide $878$ by ${\color{green}2}$: $\frac{878}{2} = {\color{red}439}$.

The prime number ${\color{green}439}$ has no other factors then $1$ and ${\color{green}439}$: $\frac{439}{439} = {\color{red}1}$.

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: $3512 = 2^{3} \cdot 439$.

The prime factorization is $3512 = 2^{3} \cdot 439$A.