Question

For what value of ‘n’ would $4^n$ end with zero?

• A. 10
• B. 0
• C. It will not end with zero for any value of n.
• D. 40

Answer 1

The correct option is C

It will not end with zero for any value of n.

$4^n=2^{2n}$
Now, if a number ends with zero, it should be divisible by 5.
$\Rightarrow$ One of the prime factors will be 5.
But $4^n$ is not divisible by 5, therefore it will never end with zero.