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Does positive integer b have a factor n such that 1 < n < b ? https://gmatclub.com/forum/doespositiveintegerbhaveafactornsuchthat1nb318399.html 
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Author:  Bunuel [ 13 Mar 2020, 05:33 ] 
Post subject:  Does positive integer b have a factor n such that 1 < n < b ? 
Does positive integer b have a factor n such that 1 < n < b ? (1) b = 2k, where k is an integer greater than 1. (2) k is a factor of b, where k is an integer greater than 1. 
Author:  GMATWhizTeam [ 13 Mar 2020, 06:04 ] 
Post subject:  Re: Does positive integer b have a factor n such that 1 < n < b ? 
Bunuel wrote: Does positive integer b have a factor n such that 1 < n < b ? (1) b = 2k, where k is an integer greater than 1. (2) k is a factor of b, where k is an integer greater than 1. Step 1: Analyze Question Stem
• Now, there can be two scenarios:
o Case 2: b does not have a factor between 1 and b. This would mean that b is a prime number. For example: b = 5 does not have any factor between 1 and 5. So, the question is indirectly asking us to find out, if b is a composite number or a prime number? Step 2: Analyze individual statements Statement 1: b = 2k, where k is an integer greater than 1.
Statement 2: k is a factor of b, where k is an integer greater than 1.

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Post subject:  Re: Does positive integer b have a factor n such that 1 < n < b ? 
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