# Prime factorization of $4252$

The calculator will find the prime factorization of $4252$, with steps shown.

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Find the prime factorization of $4252$.

### Solution

Start with the number $2$.

Determine whether $4252$ is divisible by $2$.

It is divisible, thus, divide $4252$ by ${\color{green}2}$: $\frac{4252}{2} = {\color{red}2126}$.

Determine whether $2126$ is divisible by $2$.

It is divisible, thus, divide $2126$ by ${\color{green}2}$: $\frac{2126}{2} = {\color{red}1063}$.

The prime number ${\color{green}1063}$ has no other factors then $1$ and ${\color{green}1063}$: $\frac{1063}{1063} = {\color{red}1}$.

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: $4252 = 2^{2} \cdot 1063$.

The prime factorization is $4252 = 2^{2} \cdot 1063$A.