Question 1099200
<br>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.<br>
So the largest 4-digit multiple of 37 is 9990.