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50 - Digit Number II (Posted on 2005-05-13) Difficulty: 2 of 5
I am thinking of a fifty-digit number divisible by 239, of which, each digit is the same, except the ones digit. What is the ones digit?

See The Solution Submitted by Dustin    
Rating: 2.8000 (5 votes)

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Solution by lucky guess | Comment 1 of 11

I thought: "hmm, I need to know about the first 49 digits, what if I break it into 7-digit chunks.  What's 1111111/239?"

Turns out it divides evenly.

So it will divide the first 49 digits evenly no matter what digit they are.  The last digit must be a 0.

 


  Posted by Jer on 2005-05-13 16:55:53
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