15 times
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Well, honey, 16 goes into 240 a grand total of 15 times. You divide 240 by 16, and you get 15. Simple math, darling.
To find out how many times 16 goes into 240, you would divide 240 by 16. The answer is 15, as 16 multiplied by 15 equals 240. Therefore, 16 goes into 240 fifteen times.