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# How many prime divisors does positive integer N have? 1. 2N

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CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City
How many prime divisors does positive integer N have? 1. 2N [#permalink]

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08 Nov 2007, 21:17
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many prime divisors does positive integer N have?

1. 2N has one prime divisor
2. 3N has one prime divisor
SVP
Joined: 29 Aug 2007
Posts: 2473

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08 Nov 2007, 21:40
bmwhype2 wrote:
How many prime divisors does positive integer N have?

1. 2N has one prime divisor
2. 3N has one prime divisor

C.

1: n could be 1 or a power of 2.
2: n could be 1 or a power of 3.

from i and ii, n is 1. so it has no prime divisor.
Director
Joined: 03 Sep 2006
Posts: 871

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08 Nov 2007, 23:49
bmwhype2 wrote:
How many prime divisors does positive integer N have?

1. 2N has one prime divisor
2. 3N has one prime divisor

From(i)

2N has one prime divisor means, that the divisor is 2. Thus N has no prime divisor

From(ii)

3N has one prime divisor means, that the divisor is 3. Thus N has no prime divisor

C
Director
Joined: 09 Aug 2006
Posts: 755

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08 Nov 2007, 23:53
bmwhype2 wrote:
How many prime divisors does positive integer N have?

1. 2N has one prime divisor
2. 3N has one prime divisor
\

C.

Stat 1:
N = 1 or N = 2, both have 2 as the only prime divisor

Stat 2: same as for stat 1

Together:
N can only be 1.
Re: Prime divisors   [#permalink] 08 Nov 2007, 23:53
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