Question

check whether 6n
can end with digit ‘0’
natural number ‘n’​

Answer 1

If n is a natural number then 6n will not end with 0.

HOPE THIS WILL HELP YOU......

Answer 2

If 6ⁿ ends with 0 then it must have 5 as a factor.

But, 6ⁿ = (2×3)ⁿ = (2ⁿ×3ⁿ) shows that 2 and 3 are the only prime factors of 6ⁿ

Also, we know from the fundamental theorem of arithmetic that the prime factorisation of each number is unique.

So, 5 is not a factor of 6ⁿ.

Hence, 6ⁿ can never end with the digit 0.