Question

Check whether 5^n can end with the digit 0 for any natural number n

Answer 1

Solution: To Check whether 5ⁿ can end with the digit 0 for any natural number n

If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5 
It can be observed that 2 is not in the prime factorisation of 5ⁿ. 
Hence, for any value of n, 5ⁿ will not be divisible by 2. 
Therefore, 5ⁿ cannot end with the digit 0 for any natural number n.