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Determine the number of five-digit integers (37abc) in base 10 such that (37abc) is divisible by 37.

 Jan 14, 2021
 #1
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+1

(37000, 37037, 37074, 37111, 37148, 37185, 37222, 37259, 37296, 37333, 37370, 37407, 37444, 37481, 37518, 37555, 37592, 37629, 37666, 37703, 37740, 37777, 37814, 37851, 37888, 37925, 37962, 37999)==28 such numbers.

 Jan 14, 2021
 #2
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999 divided by 37 = 27

plus it could be 000

 

makes a total of 28  just as guest already determined.     laugh

 Jan 14, 2021

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