Check whether 6n can end with the digit 0 for any natural number n
Answers
Answered by
2
Step-by-step explanation:
6=2x3
6n=(2x3)n
to end any number with digit 0, 2 and 5 should be the factor of that number
here 2 is present but 5 is absent. So, 6n cannot be end with digit 0
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Answered by
0
Step-by-step explanation:
Let 6 ^n end with 0
So now the prime factorisation of 6^n must be 2&5 in it
But prime factorisation of 6= 2×3
And according to FUNDAMENTAL THE OF ARITHMETICS,this prime factorisation is unique.
Therefore 6^n can never end with 0.
hope this helps!
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