Question

Check wheather 8^10 can end with 0 for any natural no. N

Answer 1

Answer:

No

Explanation:

As we check the cyclicity of unit digit,

8^1=8

8^2=4

8^3=2

8^4=6

8^5=8

So, we see that after every 4th term its unit digit repeats itself. Hence, 0 cannot be at the unit's place.

                                                  OR

For the unit's digit to be zero, it should have a 5 and a 2 as its factor,

But 8^10= (2^3)^10

=2^30

Hence, no as it doesn't have 5 as a factor.

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