Can you find the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?
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Can you find the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?
225 is divisible by 9 and 25.
=> Sum of digits of the resultant value should be 9 ( since it is divisible by 9.).
=> it must have 9 ones since the resultant value can contain only ones and zeros.
So the answer is [B]11,111,111,100 [/B][ since it has to be a multiple of 25]
-- James.
Perfect James!!!!!!!! You got the number. Very good approach to the solution!!!!!!!