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If n is an odd integer greater than 1, is n prime? (1) n is

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If n is an odd integer greater than 1, is n prime? (1) n is [#permalink] New post 11 Dec 2005, 11:37
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If n is an odd integer greater than 1, is n prime?

(1) n is a factor of 56
(2) 14 is a factor of 2n.
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 [#permalink] New post 11 Dec 2005, 12:01
A.

S1:
56 = 2^3 * 7

only odd factor : 7


S2:
n = 7: yes
n = 21:no
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 [#permalink] New post 11 Dec 2005, 12:07
Statement 1:
56 = 2 * 2 * 2 * 7 * 1
Since n is odd and greater than 1, the only choice is 7.
7 is prime, hence SUFF.

Statement 2:
n = 7
2n = 14

But if n = 14
2n = 28.
14 is a factor of 28. But 14 is not odd.
Thus INSUFF

Answer = A
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 [#permalink] New post 11 Dec 2005, 17:34
duttsit wrote:
A.

S1:
56 = 2^3 * 7

only odd factor : 7


S2:
n = 7: yes
n = 21:no


Agree with duttsit. Should be A
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 [#permalink] New post 13 Dec 2005, 15:04
A. Same reasoning as explained by others above.
  [#permalink] 13 Dec 2005, 15:04
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