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Thread: Multiples

  1. #1
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    Multiples

    Please help me understand how to get the solution to the following:

    If 7x is a multiple of 210, must x be a multiple of 12?

    Thank you!
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  2. #2
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    Re: Multiples

    Quote Originally Posted by ChickenWings View Post
    Please help me understand how to get the solution to the following:

    If 7x is a multiple of 210, must x be a multiple of 12?

    Thank you!
    Let $x=30$

    $7x=7\cdot 30 = 210$ is a multiple of $210$

    $30$ is not a multiple of $12$

    the strategy for solving is

    $7x=210k$ for some integer $k$

    $x = 30k$

    choose some $k$ such that $30k$ is not a multiple of 12. $k=1$ works as shown above.
    Thanks from ChickenWings
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  3. #3
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    Re: Multiples

    Thank you so much!
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