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divisibility by 37 (Posted on 2024-11-20) Difficulty: 3 of 5
Determine the number of five digit integers 37ABC, such that 37ABC, 37BCA, 37CAB is divisible by 37.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 5.0000 (1 votes)

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Solution Answers Comment 2 of 2 |
There are 28 answers.

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

My favorite is 37888=37*1024=37*2^10 because that is 37 times a power of 2.


  Posted by Math Man on 2024-11-25 17:38:19
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