# Prime factorization of $3532$

The calculator will find the prime factorization of $3532$, with steps shown.

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Find the prime factorization of $3532$.

### Solution

Start with the number $2$.

Determine whether $3532$ is divisible by $2$.

It is divisible, thus, divide $3532$ by ${\color{green}2}$: $\frac{3532}{2} = {\color{red}1766}$.

Determine whether $1766$ is divisible by $2$.

It is divisible, thus, divide $1766$ by ${\color{green}2}$: $\frac{1766}{2} = {\color{red}883}$.

The prime number ${\color{green}883}$ has no other factors then $1$ and ${\color{green}883}$: $\frac{883}{883} = {\color{red}1}$.

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: $3532 = 2^{2} \cdot 883$.

The prime factorization is $3532 = 2^{2} \cdot 883$A.