Question

Show that 14^n cannot end with the digit zero for any natural number n

Answer 1

we can here first see that 14 has the prime factors as :

2 , 7 , 1  

so for a number it is compulsory to have both 5 and 2 in its prime factorisation

if its any power has to end with zero . here we see that 14 has no prime factor as 5 so we can say that 14 to the power n for any natural number n will not end with 0.

hope you get beneffited by this.

Answer 2

Here is your answer user. hope this answer helpful for you.