Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The smallest positive divisor greater than 1 of a composite number $a$ is
MathematicsBasic of MathematicsKCETKCET 2013
Options:
  • A $ < \sqrt{a}$
  • B $=\sqrt{a}$
  • C $>\sqrt{a}$
  • D $\leq \sqrt{a}$
Solution:
1554 Upvotes Verified Answer
The correct answer is: $\leq \sqrt{a}$
By property, the smallest positive divisor greater than 1 of a composite number $a$ is less than or equal to $\sqrt{a}$, which is standard result.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.