Check whether 18^n can end with the digit 0 or 5 for any natural number 'n'
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Answered by
3
Answer:
no
Step-by-step explanation:
Let us think of some numbers which end
the digit 0
10 = 5x 2
100 = 2 x 2x5x5
Many more...
Now, Clearly we can see that numbers
ending with O has prime factors as 2 and
5, take any number ending with digit 0, it
will do have 2 and 5 as a factor.
But,
8^n =(4x 2) ^n
It doesn't have 5 as it's factor thus 8^ n
cannot end with zero for any natural
number n.
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