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If x and y are positive integers, is x/y an integer? (1) [#permalink]
09 Sep 2007, 20:34
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If x and y are positive integers, is x/y an integer?
(1) every factor of y is also a factor of x
(2) every prime factor of y is also a prime factor of x
I have OA but cannot understand the explanation, was wondering if anyone could explain in different words?
Specifically, what confuses me is OA explanation's claim that if you test x/y = 18/8, it will satisfy criteria for (2). How can this be? As I see it:
Prime factors of 18 = (2)(3)(3)
Prime factors of 8 = (2)(2)(2)
Hence ONE prime factor of y is also a prime factor of x, but it's false that EVERY prime factor of y is also a prime factor of x. I would think you'd need three 2s, i.e. (2)(2)(2), i.e. 2^3 in x for this to be the case.