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Equal digits (Posted on 2012-06-11) Difficulty: 1 of 5
What is the biggest 5 digit number such that when multiplied by a single digit, the result is a six digit number, with all digits identical?

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (4 votes)

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Solution Solution (spoiler) | Comment 1 of 7
111111 = 3*7*11*13*37, so the single digit multiplier will be 3 or 7.

111111/3 = 37037, and the biggest 5 digit multiple of 37037 is 74074

111111/7 = 15873, and the biggest 5 digit multiple of 15873 is 95238

So, 95238 is our answer.

95238 * 7 = 666666

Edited on June 12, 2012, 3:26 pm
  Posted by Steve Herman on 2012-06-11 11:11:40

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