Question

Show that any number of the form 6n,nEN never end with digit zero.

Answer 1

Answer :-

example of no. which end with 0

10 = 2 ×5

100 = 2×2×5×5

1000 = 2×2×2×5×5×5

Here we can see that the number which end with zero have common factor (2,5).

Now ,

6 = 2×3

as we can see that 6 does not have common factor - 5

so it can't be end with 0

where 0 is any positive integer

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