Is 6 to power n divisible by 5

Asked by DHARVI A. BHATT | 20th Jul, 2010, 12:00: AM

Expert Answer:

Dear Student
 
6n is not divisible by 5.
Since prime factorisation of 6n = (2x3)
=2n x3n which does not contain 5
Prime factorisation is unique according to Fundamental Theorem of Arithmetic.
So 6n cannot be divisible by 5 for any n
Regards
Team Topperlearning

Answered by  | 21st Jul, 2010, 09:33: AM

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