Question

Check whether 8º end with the digit zero for any natural numbers
Solution:​

Answer 1

Answer:

since prime factors of 8 include only 2 and not 5 so 8 to the power of n for any natural number will not end with 0.

Answer 2

A number 8n

We need to check whether it can end with zero

Solution:

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