Originally Posted by

**Samson** Hello all,

I am finishing up this chapter in my book with regards to UFD's, and it presented an interesting question that ties in with unique prime factorization. Here is what it says:

It can be shown directly that $\displaystyle Z[\sqrt{-3}]$ is not a UFD by finding an integer which factors into primes in more than one way. These two factorizations are related to the unique prime factorization in the quadratic integers in $\displaystyle Q[\sqrt{-3}]$

Can anyone show me this directly and explain how those factorizations are related?