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If 6^n is to end with zero (where n is a natural number), it has to be a multiple of 5. That is 6^n should have a prime factor 5. However, this number can only be written as 2^3n or 3^2n so, 5is not there in the prime factorisation. Therefore, the uniqueness of the fundamental theorem of arithmetic guarantees that 5 cannot be a factor of the number. So, 6^n cannot end with 0.
Plz give me answer and explain this plz
check whether 6\’ can end with the digit 0 for any natural number n.
Madhavi Goyal
Asked: 2 years ago2022-11-07T10:25:23+05:30
2022-11-07T10:25:23+05:30In: Class 10
Check whether 6 can end with the digit 0 for any natural number n
Check whether 6 can end with the digit 0 for any natural number n
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Leave an answer
Sushmita Bandi
Asked: 2 years ago2022-11-01T02:37:01+05:30
2022-11-01T02:37:01+05:30In: Class 10
Check whether 6″ can end with the digit 0 for any natural number n
Check whether 6″ can end with the digit 0 for any natural number n
Leave an answer
Leave an answer
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No because the prime factorisation of 6 contains 2 but not 5.
6 will not be end with the 0 . Because it does not have factor of 6 —2 , 5 so it will not end 0.