SOLUTION: What is the greatest multiple of 37 that has exactly 4 digits

Question 1099200: What is the greatest multiple of 37 that has exactly 4 digits
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52793) (Show Source): You can put this solution on YOUR website!
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Take the number 9999. Divide it by 37: = 270.2 (approximately) Take the greatest integer which is less than 270.2. It is 270. The number 270*37 = 9990 is your answer.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A shortcut that can be used to get to the answer quickly is to know that 37*3 = 111.
Therefore, any 3-digit number of the form AAA is a multiple of 37.
In particular, 999 is a multiple of 37; so 9990 is also a multiple of 37.
And clearly adding another 37 would make a number that is no longer 4 digits.

So the largest 4-digit multiple of 37 is 9990.
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