# JavaScript: Power of three

## JavaScript Math: Exercise-107 with Solution

Write a JavaScript program to check whether a given integer is a power of three or not.

In mathematics, a power of three is a number of the form 3^{n} where n is an integer – that is, the result of exponentiation with number three as the base and integer n as the exponent.

**Test Data:**

(27) -> true

(9) -> true

(36) -> false

**Sample Solution:**

**HTML Code:**

```
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>JavaScript program to Power of three or not</title>
</head>
<body>
</body>
</html>
```

**Solution-1**

**JavaScript Code:**

```
function test(n) {
return (Math.log10(n) / Math.log10(3)) % 1 == 0;
}
n = 27
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
n = 9
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
n = 36
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
```

Sample Output:

Number n = 27 Check the said number is power of three or not? true Number n = 9 Check the said number is power of three or not? true Number n = 36 Check the said number is power of three or not? false

**Flowchart: **

**Live Demo: **

See the Pen javascript-math-exercise-107 by w3resource (@w3resource) on CodePen.

**Solution-2**

**JavaScript Code:**

```
function test(n) {
if (n < 1) {
return false;
}
while (n % 3 === 0) {
n = n / 3;
}
return n === 1;
}
n = 27
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
n = 9
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
n = 36
console.log("Number n = " +n)
console.log("Check the said number is power of three or not? "+test(n));
```

Sample Output:

Number n = 27 Check the said number is power of three or not? true Number n = 9 Check the said number is power of three or not? true Number n = 36 Check the said number is power of three or not? false

**Flowchart: **

**Live Demo: **

See the Pen javascript-math-exercise-107-1 by w3resource (@w3resource) on CodePen.

**Improve this sample solution and post your code through Disqus**

**Previous:** Least number of perfect square that sums upto n.

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