Show that 28^n cannot end with digit 0 for any natural number

+1 vote
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asked Mar 9, 2018 in Mathematics by Jnaneswari.D (20 points)

1 Answer

+1 vote
answered Mar 9, 2018 by Annu Priya (18,055 points) 24 45 82

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 5 is not in the prime factorisation of (22x7)or 28n 
Hence, for any value of n, 28n will not be divisible by 5.  
Therefore, 28n cannot end with the digit 0 for any natural number n.

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