Prove that 8n never ends with digit 0
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Answered by
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For a number to end with the digit 0 it's prime factorization should have 2 and 5 as a common factor.
here 8^n = (2*4)^n doesn't have 5 in its prime factorization.
Therefore 8^n cannot end with the digit 0.
Hope this helps!
here 8^n = (2*4)^n doesn't have 5 in its prime factorization.
Therefore 8^n cannot end with the digit 0.
Hope this helps!
Answered by
1
Factors of 8n = 2x2x2
And we know that the digits which have factor 5 and 2 only can ends with 0.
But factors of 8 is only 2
So it can't be ends with 0.
Hope it'll help u...
And we know that the digits which have factor 5 and 2 only can ends with 0.
But factors of 8 is only 2
So it can't be ends with 0.
Hope it'll help u...
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