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# If r and s are +ve integers, is r/s an integer 1. Every

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Joined: 07 Oct 2005
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If r and s are +ve integers, is r/s an integer 1. Every [#permalink]  25 Dec 2007, 06:25
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If r and s are +ve integers, is r/s an integer

1. Every factor of s is also a factor of r
2. every prime factor of s is also a prime factor of r
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--gregspirited

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Joined: 09 Jul 2007
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Location: London
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Kudos [?]: 73 [0], given: 0

Re: DS - factor and prime factors [#permalink]  25 Dec 2007, 12:08
gregspirited wrote:
If r and s are +ve integers, is r/s an integer

1. Every factor of s is also a factor of r
2. every prime factor of s is also a prime factor of r

R/S integer?

1. apparently S<R or S=R, thus Yes.

2. S=2*3*5=30, R=2*3*5*7=210. the same as 1 because any number can be prime factorized if not itself a prime factor. Yes

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Joined: 04 May 2006
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1.sufficient. The same approach
2.not sufficient. For example r = 30, prime factor are 2, 3, 5. And s = 60, prime factors are also 2, 3, 5. But r/s is not an integer
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