Question

prove that there is no natural number for which 4 power N ends with a digit zero.

Answer 1

4 power N to end with zero there should 5 in its prime factorisation .But prime factorisation of 4 has no 5 as the prime factorisation is 2×2. So, 4 power N does not end with digit zero for any natural number .

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Answer 2

Answer:

Step-by-step explanation:

4 power ends with zero there should be 4 in its prime factorization bit prime factorization of 4 has no 5 as the prime factorization is 2×2 so 4 power n does not end with zero for any natural number.