Question 1099200: What is the greatest multiple of 37 that has exactly 4 digits Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52794) (Show Source):
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.
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.
