The third installment of the Red Faction series is Red Faction
Guerilla, so ther is no official Red Faction 3.
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Red Faction happened in 2001.
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There are four Red Faction video games that have been released
since 2001. Red Faction I, Red Faction II, Red Faction: Guerrilla
and Red Faction: Armageddon. They also released a mini game for
download called Red Faction: Battlegrounds.