Question

check whether 5n can end with the digit 0 for any natural number n

Answer 1

if the number 5n,for any n were to end with the digit zero then it would be dividable by 2 and 5 that is the prime factorization of 5n would contain the prime 2 this is not possible because 5n so only primes in the factorization of 5n is 5 only .
therefor there is no natural number n for which 5n ends with digit zero

Answer 2

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