tresajacko6994 tresajacko6994
  • 03-06-2018
  • Mathematics
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What is the least multiple of 15 whose digits consist only of 1's and 0's?

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jcherry99
jcherry99 jcherry99
  • 03-06-2018
Remark
Fun question. It has to have at least three 1s in it. that's because it has to be divisible by 3 and 5. So to get it divisible by 3 you need to have something that will add up to 3 or 3n where n is any number above 0.

The 5 part comes into it by adding a zero on the end. Something divisible by 5 must and in 0 or 5. Since 5 is not permitted, the number has to end in zero.

Answer. The Smallest number must be 1110

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