Bunuel wrote:
If \(k\) is a positive integer and \(\sqrt{6k}\) is the greatest factor of \(k\), what is the number of positive factors of \(k\)?
A. 1
B. 2
C. 3
D. 4
E. 6
√(6k) is the greatest factor of k
Greatest factor of any number is the number itself e.g. greatest factor of 10 is 10
i.e. √(6k) = k
i.e. 6k = k^2
i.e. k = 6
Factors of 6 are {1, 2, 3, 6} i.e. 4 factors
Answer: Option D
GMATinsight
Statistics : Posted by GMATinsight • on 17 May 2024, 01:30 • Replies 2 • Views 102
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