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# If r and s are positive integers, is r/s an integer? (1)

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Intern
Joined: 17 Apr 2007
Posts: 24

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If r and s are positive integers, is r/s an integer? (1) [#permalink]

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12 May 2007, 15:52
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If r and s are positive 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

Why is the answer not D?

OA is A

Kudos [?]: 5 [0], given: 0

Senior Manager
Joined: 03 May 2007
Posts: 270

Kudos [?]: 14 [1], given: 0

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12 May 2007, 16:11
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KUDOS
according to a definition of a prime factor 4 has one prime factor 2
according to a definition of a factor 4 has factors 2, 2

so for example we have r=4 and s=8

4 and 8 have only one prime factor 2, but 4/8 is not an integer (1) is not sufficient

4 has 2,2 factors
8 has 2,2,2 factors
we have to meet the requirement the statement (2) factors of s have to be in r (statement 2 sufficient)

Kudos [?]: 14 [1], given: 0

Intern
Joined: 17 Apr 2007
Posts: 24

Kudos [?]: 5 [0], given: 0

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12 May 2007, 16:21
but the OA is A....im still confused

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Senior Manager
Joined: 03 May 2007
Posts: 270

Kudos [?]: 14 [0], given: 0

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12 May 2007, 16:23
man i can't type today at all sorry
it should be

so for example we have r=4 and s=8

4 and 8 have only one prime factor 2, but 4/8 is not an integer (2) is not sufficient

4 has 2,2 factors
8 has 2,2,2 factors
we have to meet the requirement the statement (1) factors of s have to be in r (statement 1 sufficient)

Kudos [?]: 14 [0], given: 0

12 May 2007, 16:23
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