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Finding special type of numbers - JavaScript
In the decimal number system, all the real numbers can be divided into two groups −
- Rational Numbers
- Irrational Numbers
For the scope of this problem we will only discuss the rational numbers,
All those numbers which can be written in the p/q (where q !== 0) form are called rational numbers.
Like 14, 4.6, 3.33333... and many more
The rational numbers, further can be divided into two groups −
- Terminating decimal numbers
- Repeating decimal numbers
This categorization is made on the basis of result obtained upon dividing p by q.
The thumb for this categorization is that −
- We will obtain a terminating decimal number if and only if the prime factors of q are only 2 and 5
We will obtain a repeating decimal number of the prime factors of q includes any other number than 2 or 5.
So, we are required to write a JavaScript function that takes in a number that represents the value q. Our function should return true if for that value of we can obtain a terminating decimal number, false otherwise.
Example
Following is the code −
const num = 1250;
const isTerminating = num => {
while(num !== 1){
if(num % 2 === 0){
num /= 2;
}else if(num % 5 === 0){
num /= 5;
}else{
return false;
};
};
return true;
};
console.log(isTerminating(num));Output
This will produce the following output in console −
true
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