Wiktionary
factorially
adv. (context math English) According to a factorial series or ratio.
Usage examples of "factorially".
The force of his contempt for me is magnified factorially by the force of the self-contempt that needing my services makes him feel.
The King rushed forward with all his cruel coordinates and mean values, stumbled into a dark forest of roots and logarithms, had to backtrack, then encountered the beast on a field of irrational numbers (F1) and smote it so grievously that it fell two decimal places and lost an epsilon, but the beast slid around an asymptote and hid in an n-dimensional orthogonal phase space, underwent expansion and came out, fuming factorially, and fell upon the King and hurt him passing sore.