78
Check whether $15^n \times 2^n$, n being a natural number, ends with the digit zero.
Show SolutionHide Solution↓
Solution: $15^n \times 2^n = 5^n \times 3^n \times 2^n$
$\Rightarrow 2$ and 5 both are the factors of the given number
$\therefore$ The given number ends with the digit zero
$\Rightarrow 2$ and 5 both are the factors of the given number
$\therefore$ The given number ends with the digit zero