A system and methodology for conducting a lottery wagering game include receiving a first wager fee from players for entry in a primary game. The players are offered the option to pay a second wager fee for a chance at a first multiplier fact that may increase the prize award for winners of the primary game. The players are also offered the option to pay a third wager fee for a chance at a second multiplier factor that combines with the first multiplier factor in a predetermined for subsequently randomly generated multiplier function to determine a final multiplier factor that is applied to the prize award for winners of the primary game.