Question

Find the lease no. of n so that 5ⁿ is divisible by 3, where n is a natural number.

Answer 1

5ⁿ is divisible by 3

At any value of n , 5ⁿ is not divisible by 3 , As we can check
As we know 5 is a prime number .
So,
at n = 3 we get

$\frac{5\times 5\times 5}{3}$ , not divisible by 3
So,
We can say that at any value of n 5ⁿ is not divisible by 3 as we now 5 is not divisible by 3 .