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# How to solve the Power of Three problem using Java Harsh Jain

## Problem statement

The problem statement is as follows:

Given an integer $n$, return true if it is a power of three. Otherwise, return false. An integer n is a power of three if there exists an integer $x$ such that $n == 3^x$.

Below are some examples:

• Suppose that the input $n = 27$. The output will be true as 27 is a power of three, i.e., $3^{3} = 27$.
• Similarly, if the input $n = 2$. The output will be false as 2 is not a power of three.

## Solution approach

Here we will create a function, isPowerOfThree(), which will take an input integer number as a parameter and return true or false depending on whether the number is a power of three.

class Solution {
public static boolean isPowerOfThree(int n) {
if(n<3)
return false;

while(n%3==0)
{
n/=3;
}

return n==1;
}
public static void main(String[] args){
int n = 27;
if (isPowerOfThree(n))
System.out.println(n + " is a Power of Three.");
else
System.out.println(n + " is not a Power of Three.");
}
}

Solution of Power of Three Problem

### Explanation:

• In line 2, we initiate the function isPowerOfThree(int n), which will take an integer as input.
• In line 3, there is a case that if the number is less than 3, then it will return false because it won’t be a power of 3 then.
• In lines 6 to 9, we loop and decrease by dividing the integer by 3. We do this until the number is perfectly divided by 3.
• In line 11, if the number remains 1, then we will return true. Otherwise, we will return false.
• From lines 13 to 19, we create the main() function, call the isPowerOfThree() function, and print the corresponding message.

In this way, we can solve the Power of Three problem.

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