Question

State fundamental theorem of arithmetic using it check wheather their is any vaule of n for which 5n ends with digit 0

Answer 1

Fundamental Theorem of Arithmetic states that evey composite number can be expressed as a product of primes,and this factorisation is unique,apart from the order in which the prime factors occur.
5=1*5
As,5 does not have 2 and 5 as a common factor it does not end with zero.