document.write( "Question 1099200: What is the greatest multiple of 37 that has exactly 4 digits \n" ); document.write( "

Algebra.Com's Answer #713658 by greenestamps(13200) $\"\"$ $\"About$

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

\n" ); document.write( "So the largest 4-digit multiple of 37 is 9990. \n" ); document.write( "

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