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Real quick question

  1. Jul 8, 2010 #1
    if 9 divides 2x does that imply 9 divides x? if so why?

  2. jcsd
  3. Jul 8, 2010 #2
    actually i found it.

    "if a divides bc, and a and b are coprime, then a divides c"
  4. Jul 8, 2010 #3


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    Staff Emeritus
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    The reason why has to do with primes. 9=3*3 so 3*3 divides 2x. This means that in the prime factorization of 2x, there have to be two 3's involved. Obviously neither comes from the 2 so both must come from the x
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