Question

Check whether 6ñ can end with the digit 0 for any natural number .​

Answer 1

Answer:

" If any number ending with the digit 0 in that prime factorisation 2 and 5 prime factors must be present " .

The prime factorisation of 6ñ = (2×3)ñ

In prime factorisation of 6ñ having 2 and 3 prime factors only .

So, 6ñ cannot end with the digit "0" .

Answer 2

If 6ⁿ is to end with zero for a natural number n, it should be divisible by 2 and 5. This means that the prime factorisation of 6ⁿ should contain the prime number 5 and 2 . Since , 5 is not present in the prime factorisation , there is no natural number n for which 6ⁿ ends with the digit zero.