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15 Jul 2018, 10:23
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C
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Difficulty:
45%
(medium)
Question Stats:
67% (01:27) correct
33%
(01:11)
wrong
based on 15
sessions
History
Date
Time
Result
Not Attempted Yet
How many odd factors does the integer n have?
(1) 16 is the highest power of 2 that divides n
(2) n has a total of 68 factors and 3 prime factors.
(1) 16 is the highest power of 2 that divides n
(2) n has a total of 68 factors and 3 prime factors.
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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15 Jul 2018, 10:47
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How many odd factors does the integer n have?
(1) 16 is the highest power of 2 that divides n
So 2^16 included but nothing about odd prime factors
Insufficient
(2) n has a total of 68 factors and 3 prime factors.
Now \(68=2*2*17=(1+1)(1+1)(16+1)\)
So the number is \(a*b*c^{16}\)
But we don't know what these a,b and c are..
Insufficient
Combined
We know that 2 has 16 to its power and \(a*b*c^{16}\)
So a and b are odd prime factors and the number of factors =(1+1)(1+1)=2*2=4
Sufficient
C
(1) 16 is the highest power of 2 that divides n
So 2^16 included but nothing about odd prime factors
Insufficient
(2) n has a total of 68 factors and 3 prime factors.
Now \(68=2*2*17=(1+1)(1+1)(16+1)\)
So the number is \(a*b*c^{16}\)
But we don't know what these a,b and c are..
Insufficient
Combined
We know that 2 has 16 to its power and \(a*b*c^{16}\)
So a and b are odd prime factors and the number of factors =(1+1)(1+1)=2*2=4
Sufficient
C
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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