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Question

6n can end with the digit 0 for any natural number.
If true then enter 1 and if false then enter 0

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Solution

Any positive integer ending with the digit zero is divisible by the prime number 5 and so its prime factorizations must contain the prime 5

Now, lets take 6n
6n=(2×3)n=2n×3n
The prime in the factorization of 6n is 2 and 3
5 does not occur in the prime factorization of 6n for any n.
6n does not end with the digit zero for any natural number n.

So, the given statement is False.

So, enter 0.


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