Question

Find the least number of n so that 5^n is divisible by 3, where n is a natural number.

Answer 1

5^n is to be divisible by 3 n must be least 5^3 is divisible by 3 So n=3

Answer 2

There is no value of n.

5 is not divisible by 3.

Any multiple of 5, too will not be divisible by 3.

Example - 5^2 = 25.

5^4 = 625

5^8 = 390625

5^10 = 9765625

These are some of the random values, which prove any number in the given situation will not be divisible by 3.

Hence, no value of n after putting into the given problem, can be divisible by 3.

Natural numbers are positive numbers.

Example 1,2,3 etc.