Prime factorization of $$$1522$$$

The calculator will find the prime factorization of $$$1522$$$, with steps shown.

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Find the prime factorization of $$$1522$$$.


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

Determine whether $$$1522$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1522$$$ by $$${\color{green}2}$$$: $$$\frac{1522}{2} = {\color{red}761}$$$.

The prime number $$${\color{green}761}$$$ has no other factors then $$$1$$$ and $$${\color{green}761}$$$: $$$\frac{761}{761} = {\color{red}1}$$$.

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: $$$1522 = 2 \cdot 761$$$.


The prime factorization is $$$1522 = 2 \cdot 761$$$A.