An irreducible algebraic integer which has the property that, if it divides the product of two algebraic integers, then it divides at least one of the factors. 1 and are the only integers which divide every integer. They are therefore called the prime units.

# Prime Algebraic Number

## See also

Algebraic Integer, Prime Unit## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Prime Algebraic Number."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeAlgebraicNumber.html