Question

Check if 3

n

can end with the digit 0 for any natural number n. ​

Answer 1

Step-by-step explanation:

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

Prime factorisation of 3n = (2 ×3)n

It can be observed that 5 is not in the prime factorisation of 3n.

Hence, for any value of n, 3n will not be divisible by 5.

Therefore, 3n cannot end with the digit 0 for any natural number n