1.

Check whether 4n can end with the digit 5 for any natural number n​

Answer»

for unit's digit to be 0, then 4N should have 2 and 5 as its prime factors, but 4n =( ... it does not contain 5 as one of its prime factors.Explanation:For the NUMBER 4n to end with digit zero for any NATURAL number n, it should be DIVISIBLE by 5. This means that the prime factorisation of 4n should contain the prime number 5. But it is not possible because 4n=(2)2n so 2 is the only prime in the factorisation of 4n



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