show that 14 n cannot end with the digit 0 for any natural numbers
Answers
Answered by
5
Let us consider 14^n end with the digit 0 and 5
therefore
5 divides 14 and 14^n
But the prime factors of 14 is (2*7) and 14^n is (2*7)^n
So, our assumption is incorrect.
Therefore , 14^n cannot end with the digit 0.
therefore
5 divides 14 and 14^n
But the prime factors of 14 is (2*7) and 14^n is (2*7)^n
So, our assumption is incorrect.
Therefore , 14^n cannot end with the digit 0.
Answered by
4
Here is your answer user.
Attachments:
Similar questions