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Zero a multiple of 5?

  1. Aug 3, 2007 #1
    Zero a multiple of 5???

    My wife, who is great at math and did well for herself at Harvey Mudd, missed a question on a practice GMAT. At the answer section it said, "Remember, zero is also a multiple of 5."

    Is this correct? Zero, I thought, was not a multiple of anything!
     
  2. jcsd
  3. Aug 3, 2007 #2

    morphism

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    If we use the definition that an integer a is a multiple of an integer b if there is an integer c such that a=b*c, then zero is a multiple of 5 because 0=0*5. In fact, zero is a multiple of any integer.

    On the other hand, the only thing that is a multiple of zero is zero itself.
     
  4. Aug 3, 2007 #3
    That is true. Thanks for clarifying that.
     
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