Factual error: When Angier and Cutter are looking for a new workshop they enter a room, with a fully glassed wall on one side. A very modern white radiator is in the room. (00:35:00)
Factual error: In the standoff between Meat and O2, Meat pulls the trigger to shoot O2 and his gun clicks - it is out of rounds. This is a common mistake: semiautomatic pistols do not re-cock after the last round is fired - the chamber remains open, so the gun will not click if the trigger is pulled again.
Factual error: In the scene where the rocket launcher is fired and blows up the plane, the sound should have been delayed a second or two after the plane exploding.