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Can the number 6 power n,n be a Natural number, end with the digit 5? give reason​

Answer»

Question: Can 6ⁿ end with a 5 in the unit digit? (N is a natural number.)

Answer 1

6 doesn't have 5 as a FACTOR. Therefore, 5 doesn't exist as a factor. It is impossible to have 5 in the unit digit.

Answer 2

6ⁿ is the repeated multiplication, 6×6×... n TIMES.

Consider multiplying 6 to number 1. You'll get 6. Now, ignore the digits above the unit digit.

The result in the unit digit is still doesn't change. Because the REST doesn't AFFECT the unit digit.

Now, you have 6×6. You get 36. Let's repeat it one more time. You have 6×6 again.

Therefore, the unit digit always ends with 6. It is impossible to have 5 in the unit digit.


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