He exaggerated when he suggested that ‘billions and billions of dollars are pouring’ into NATO at his urging.

After repeatedly criticizing other countries in the North Atlantic Treaty Organization for not paying their fair share to the military alliance, Mr. Trump has since claimed credit for changing the trend. He said on Wednesday that “NATO, believe me, is very happy with Donald Trump and what I did.”

Under NATO guidelines, member states agreed to commit a minimum of 2 percent of gross domestic product to the organization’s defense efforts, but few nations actually do so. The secretary general of the alliance, Jens Stoltenberg, said in July that five countries contributed at least 2 percent of their G.D.P. He said he expected Romania to reach the benchmark this year, and Latvia and Lithuania to next year.

While it is conceivable that Mr. Trump ushered along the process, efforts to address the disparity predated his complaints. Members that were not meeting that bar of 2 percent pledged in September 2014 — largely because of Russian actions that were continuing — to do so over the next decade.

He overstated the overall American trade deficit.

Mr. Trump said that during his Asia trip, he gave a firm warning to every country “that cheats, breaks the rules and engages in economic aggression,” which, he said, is why “we have almost an $800 billion a year trade deficit with other nations.” That figure is accurate when examining only the trade balance in goods, about $750 billion last year.

Trade in services, however, reduced the overall deficit to $505 billion. The total trade deficit has actually increased under Mr. Trump’s watch — to $405 billion during the first nine months of 2017, compared with $370 billion during the first nine months of 2016.