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Question


N=23×32×53×10. If P is a natural number, then how many factors of N are of the form 2P+1?


Options:
A .   14
B .   15
C .   13
D .   12
Answer: Option A
:
A

N=24×32×54. Ultimately, we need to find out the number of odd factors of N except 1. Number of odd factors (including 1) =(2+1)×(4+1)=3×5=15.


Answer- (151)=14.



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