Question

Check whether 15 (to the power) n can end with digit 0 for any natural number n.

Answer 1

15^n gives you (3*5)^n
if at all it ends with 0, it should have atleast 2 as one of its prime factors (as 5*2=10) so 15^n can't end with 0 for any natural no n.

Answer 2

No, 15 to the power n cannot end with 0 for any natural number n.  

It would not possible to get the zero in the last digit, because the unit’s place will always get even multiples of 5 or Odd multiples of 5. Which results the value is always ends with 5.

The odd multiples will never have zero in their end digit as only the even multiples tends to have.

For N=1, $(15)^{1}=15$

For N=2, $(15)^{2}=225$

For N=3, $15^{3}=3375$