Republican presidential candidates spewed statistics and positions throughout the two-hour debate Tuesday night, but not everything that they said was true.

NBC News' partner Politifact highlights some of those statements.

Fact check 1. Rand Paul says Marco Rubio "is the one for an open border."

Paul tried to hit Rubio's vulnerable spot: immigration. Rubio was a leader in the Senate's comprehensive immigration bill and as part of that Paul said Rubio "is the one for an open border that is leaving us defenseless."

Fact check 2. Jeb Bush said: "Two months ago Donald Trump said that ISIS was not our fight."

Trump responded, "Never said that."

Who's right? Jeb Bush.

Fact check 3. Ted Cruz said the head of the FBI "told Congress they cannot vet those (Syrian) refugees."

Cruz is conflating scenarios. James Comey never said the FBI couldn't vet the 10,000 Syrian refugees allowed admittance into the U.S. Comey said he couldn't personally certify each refugee.