perplexus.info :: Numbers : Zeros And Ones

Zeros And Ones (Posted on 2003-04-08)

What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

See The Solution Submitted by Ravi Raja

Rating: 3.0000 (4 votes)

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| Comment 17 of 23 |

The factors of 225 are 3, 3, 5, 5. To get two fives in the number it must end in 00. To be divisable by 3 twice the sum of the digits must be 9. So the smallest number using only ones and zeros is 11111111100/225=49382716.

Posted by Dan Porter on 2004-01-21 14:34:58

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