Determine the number of five digit integers 37ABC, such that 37ABC, 37BCA, 37CAB is divisible by 37.
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.
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Posted by Math Man
on 2024-11-25 17:38:19 |