# JavaScript: Show the Hamming numbers

## JavaScript Math: Exercise-44 with Solution

Write a JavaScript function to show the first twenty Hamming numbers. Hamming numbers are numbers with prime factors of 2, 3 and 5

**Sample Solution:-**

**HTML Code:**

```
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>JavaScript function to show the Hamming numbers</title>
</head>
<body>
</body>
</html>
```

**JavaScript Code:**

```
function Hamming(n) {
var succession = [1];
var length = succession.length;
var candidate = 2;
while (length < n) {
if (isHammingNumber(candidate)) {
succession[length] = candidate;
length++;
}
candidate++;
}
return succession;
}
function isHammingNumber(num) {
while (num % 5 === 0) num /= 5;
while (num % 3 === 0) num /= 3;
while (num % 2 === 0) num /= 2;
return num == 1;
}
console.log(Hamming(20));
```

Sample Output:

[1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,27,30,32,36]

**Pictorial Presentation:**

**Flowchart: **

**Live Demo: **

See the Pen javascript-math-exercise-44 by w3resource (@w3resource) on CodePen.

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