According to news reports, Mr. Obama’s State Department temporarily stopped processing refugee applications from Iraq in 2011 after two Iraqi refugees were arrested on charges of trying to send money and supplies to Al Qaeda. But records from the State Department show that Iraqi refugees were still admitted to the United States every month in 2011.

Jan. 30

“Only 109 people out of 325,000 were detained and held for questioning. Big problems at airports were caused by Delta computer outage.”

Mr. Trump continued to offer misleading defenses of his travel ban. Mr. Trump is referring to the number of people traveling midair and detained at airports when his executive order was announced on Jan. 27, but Delta’s outage did not occur until 6:30 p.m. on Jan. 29. More than 1,000 others were denied boarding from Jan. 27 to Feb. 2, and tens of thousands of visas were temporarily revoked.

Jan. 31

“It costs sometimes $2.5 billion on average, actually, to come up with a new product.”

Mr. Trump’s figure on pharmaceutical products comes from a 2014 study by a center affiliated with Tufts University and financed by drug companies. Some have questioned the study’s lack of methodological transparency and reliance on assumptions.

Feb. 1

“The Obama Administration agreed to take thousands of illegal immigrants from Australia.”

Mr. Trump’s Twitter criticism of a refugee agreement between the United States and Australia, which followed a contentious phone call with that country’s prime minister, lacks context. Mr. Obama agreed to accept refugees held in processing centers — about 1,250, not “thousands.” The United States would conduct its own assessment of whom to resettle in the country, and those who entered would have legal refugee status.

Feb. 2

“Iran was on its last legs and ready to collapse until the U.S. came along and gave it a lifeline in the form of the Iran Deal: $150 billion.”

After Iran conducted a missile test, Mr. Trump delivered a misleading message on Twitter. The $150 billion figure refers to a high estimate for Iranian assets previously frozen under sanctions and freed up in exchange for Iran’s giving up its pursuit of nuclear weapons. In other words, it is money that already belongs to Iran, and some of it is tied up in debt obligations.

Feb. 3

“Professional anarchists, thugs and paid protesters are proving the point of the millions of people who voted to MAKE AMERICA GREAT AGAIN!”

Protests against Mr. Trump’s executive order continued into a second weekend, prompting Mr. Trump to claim with no evidence that demonstrators were paid agitators.

Feb. 4

“Interesting that certain Middle-Eastern countries agree with the ban. They know if certain people are allowed in it’s death & destruction!”

Dubai’s police deputy tweeted support for the travel ban, while other key Muslim nations were silent. But Iran, Sudan and Iraq, three of the seven countries targeted by the ban, expressed concern, and the Organization of Islamic Cooperation called upon the United States to “reconsider this blanket decision” and “maintain its moral obligation.”