Question

For what least value of n where n is natural number: (5)ⁿ is divisible by 3.

Answer 1

Factorization of $5^n$:

Let, $n=1$

$5^n=5$, is not divisible by $3$.

Let, $n=2$

$5^2=25$, is not divisible by $3$.

Hence, for no value of $n,5^n$ is divisible by $3$.