Math, asked by Devilftw, 2 months ago

Show that 8^n can not end with digit 5.​

Answers

Answered by sachi25
2

Answer:

We know that any number is multiplied by 5 or 10 or by the multiples of 10 ends with zero.

So here the number 8 has factors 1,2,4 and 8.

It does not contain 5 and 10 as prime factors

8n = (2 X 4)n doesn’t have 5 in its prime factorization

Hence, 8n cannot end with the digit 0

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Answered by mdshariqulhaque600
1

Explanation:

let the n be 1,2,3,4..

8^1= 8,

8^2= 64,

8^3= 512,

8^4= 4096

...

Therefore we conclude that, in the above process, the number ends only with even number

and 5 is an odd number.

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