problem 3:

Question

Largest prime factor

Problem 3
The prime factors of 13195 are 5, 7, 13 and 29.

What is the largest prime factor of the number 600851475143 ?

Solution

function largestPrimeFactor(number) {

let largestFactor = 0;
let divider = 2;

while (number > 1) {
if (number % divider === 0) {
largestFactor = divider;
number /= divider;
} else {
divider++;
}
}

return largestFactor;
}

Explanation:

pass the number as argument.initialize largestfactor as 0 and the divider 2 which is the smallest prime number.
if the number is greater than 1 , we check if its divisible by 0;then update largest number to the divider,if the number is not divisible by the prime number we add it.then return the largestFactor.