Check whether "6^n" can end with the digit "0" for any natural number "n".
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Answer:
6^n can not end with the digit zero
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Step-by-step explanation:
According to divisible rules
If any number ends with the digit 0,
It should be divisible by 10 or 5
and the factors of 10's are 2 and 5
It means 6^n should be divisible by 2 and 5.
Prime factors of 6^n = (2 ×3)^n
It shows that 6^n can be divisible by 2 and 3 but it can not be divisible by 5 or 10 because 5 is not a prime factor of 6
Well, for any value of n, 6^n will not be divisible by 5 or 10.
Therefore, 6^n cannot end with the digit 0 for any natural number n.
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