# Prime factorization of $1434$

The calculator will find the prime factorization of $1434$, with steps shown.

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Find the prime factorization of $1434$.

### Solution

Start with the number $2$.

Determine whether $1434$ is divisible by $2$.

It is divisible, thus, divide $1434$ by ${\color{green}2}$: $\frac{1434}{2} = {\color{red}717}$.

Determine whether $717$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $717$ is divisible by $3$.

It is divisible, thus, divide $717$ by ${\color{green}3}$: $\frac{717}{3} = {\color{red}239}$.

The prime number ${\color{green}239}$ has no other factors then $1$ and ${\color{green}239}$: $\frac{239}{239} = {\color{red}1}$.

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: $1434 = 2 \cdot 3 \cdot 239$.

The prime factorization is $1434 = 2 \cdot 3 \cdot 239$A.