Question

CONSIDER THE NUMBER 4",WHERE N IS A NATURAL NUMBER .CHECK WHEATHER THERE IS ANY VALUE OF N FOR WHICH 4" ENDS WITH THE DIGIT ZERO

Answer 1

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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Samruddhi here

Answer 2

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.