coefficient

As nouns the difference between coefficient and prefactor

is that coefficient is a constant by which an algebraic term is multiplied while prefactor is a coefficient which precedes a given quantity in a mathematical formula.

As an adjective coefficient

is cooperating.

As nouns the difference between coefficient and hyperboloid

is that coefficient is a constant by which an algebraic term is multiplied while hyperboloid is a particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

As an adjective coefficient

is cooperating.