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Chop it off (Posted on 2007-03-27) Difficulty: 2 of 5
Which integers are such that if the units digit is chopped off, the original number is a multiple of the new one?

No Solution Yet Submitted by e.g.    
Rating: 3.0000 (1 votes)

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Some Thoughts re: Clarify? (Spoiler?) | Comment 2 of 5 |
(In reply to Clarify? by Adam Champken)

I agree that any integer divisible by 10, but not all repdigit integers fit the description (for example 111 is not divisible by 11). 

In addition to integers divisble by 10...any number that begins with a 1 digit and any EVEN number that begins with a 2.  If there can be formulated a more generalized rule, I would like to know it.

Following are 2-digit numbers such that if the units digit is chopped off, the original number is a multiple of the new one:
 10,  11, 12, 13, 14, 15, 16, 17, 18, 19 
 20,  22, 24, 26, 28          
 30,  33, 36, 39     
 40,  44, 48         
 50,  55             
 60,  66             
 70,  77             
 80,  88             
 90,  99


  Posted by Dej Mar on 2007-03-27 10:01:23
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