# Prime factorization of $1532$

The calculator will find the prime factorization of $1532$, with steps shown.

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Find the prime factorization of $1532$.

### Solution

Start with the number $2$.

Determine whether $1532$ is divisible by $2$.

It is divisible, thus, divide $1532$ by ${\color{green}2}$: $\frac{1532}{2} = {\color{red}766}$.

Determine whether $766$ is divisible by $2$.

It is divisible, thus, divide $766$ by ${\color{green}2}$: $\frac{766}{2} = {\color{red}383}$.

The prime number ${\color{green}383}$ has no other factors then $1$ and ${\color{green}383}$: $\frac{383}{383} = {\color{red}1}$.

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: $1532 = 2^{2} \cdot 383$.

The prime factorization is $1532 = 2^{2} \cdot 383$A.