Prime factorization of $$$46$$$

The calculator will find the prime factorization of $$$46$$$, with steps shown.

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Find the prime factorization of $$$46$$$.


Start with the number $$$2$$$.

Determine whether $$$46$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$46$$$ by $$${\color{green}2}$$$: $$$\frac{46}{2} = {\color{red}23}$$$.

The prime number $$${\color{green}23}$$$ has no other factors then $$$1$$$ and $$${\color{green}23}$$$: $$$\frac{23}{23} = {\color{red}1}$$$.

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: $$$46 = 2 \cdot 23$$$.


The prime factorization is $$$46 = 2 \cdot 23$$$A.