Question

Let if possible ( 6^{n} ) ends with digit ( 0 . )
( Rightarrow quad 6^{n}=10 times q Rightarrow 2^{n} times 3^{n}=2 times 5 times q )
( Rightarrow 5 ) is a prime factor of ( 2^{n} times 3^{n} )
which is not possible because ( 2^{n} times 3^{n} ) can have only 2 and
3 prime factors. Hence, not possible.

# 5. Check whether 6* can end with the digit 0 for any natural number n.

Solution