“To figure out” is a phrasal verb which means to find the solution or understand. Remember “figure” means number. A typical sentence is: “The report was full of facts and figures” “Facts and figures” is another standard phrase. “Figure out” can be to literally do calculations or to solve any other sort of problem .
Examples:
I need to figure out this math problem.
Can you figure out how to get to the airport?
Figuring out the import tax was really tricky in this case!
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