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Finding length of repeating decimal part in JavaScript
Problem
We are required to write a JavaScript function that takes in a number, num, as the first and the only argument
Our function should do two things
- First of all, it should check whether the number is prime with 10 or not, if its not, we should return -1 (a number is prime with any other number if the only common factor they share is 1).
- If the number is prime with 10, then we should return the length of the decimal part which repeats itself, when that very number divides 1.
For example, if the input to the function is −
Input
const num = 123;
Output
const output = 5;
Output Explanation
Because the number 123 is prime with 10 for sure
And when we divide 1 by 123, we get −
1 / 123 = 0.008130081300813…
This clearly shows that the decimal part 00813 is getting repeated infinitely and its length is 5, hence our output is 5.
Example
Following is the code −
const num = 123;
const findRepeatingPart = (num = 1) => {
if(num % 2 === 0 || num % 5 === 0){
return -1;
} else {
let res = 10 % num, count = 1;
while(res != 1){
res = res * 10 % num;
count++;
};
return count;
}
};
console.log(findRepeatingPart(num));Output
5
Updated on: 22-Apr-2021
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