Question

check whether 6ń can end with the digit 0 for any natural number n​

Answer 1

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Answer 2

Answer:

Check whether 6n can end with digit 0 for any natural number n. If 6n is end with zero for a natural number n, it should be divisible by 2 and 5. This means that prime factorization of 6n should contain the prime number 2 and 5. But it is not possible because 6n = 2n ∗3n so 2 & 3 is only prime in the factorization of 6n