Check wether 5n end with the digit 0 where n is a natural number

+1 vote
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asked Apr 23, 2017 by Hanish (20 points)

1 Answer

0 votes
answered Apr 23, 2017 by Annu Priya (18,055 points) 24 46 95

Solution:

If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5  
It can be observed that 2 is not in the prime factorisation of 5n 
Hence, for any value of n, 5n will not be divisible by 2.  
Therefore, 5n cannot end with the digit 0 for any natural number n.

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