Such a product will also be a non-zero whole number.
Integer, a real number and a rational number.
... is also nonzero.
well, its quite simple: it is a natural number.
The product is also a whole number. If the (number of positive factors) minus the (number of negative factors) is zero or an even number, then the product is positive. Otherwise the product is negative.
"a whole number that is a factor of two or more nonzero whole numbers is a ___ of the numbers" The answer is "Common Factor". "a whole number that is a factor of two or more nonzero whole numbers." from Ch. 4 - Factors, Fractions, and Exponents, link provided.
It is a multiple, and possibly could be the LCM.
Least Common Multiple
A common Factor
a common factor