Find the number of prime factors of (6)10 × (7)17 × (55)27 . code example

Example 1: How could you find all prime factors of a number?

function primeFactors(n){
  var factors = [], 
      divisor = 2;
  
  while(n>2){
    if(n % divisor == 0){
       factors.push(divisor); 
       n= n/ divisor;
    }
    else{
      divisor++;
    }     
  }
  return factors;
}

> primeFactors(69);
  = [3, 23]

Example 2: he prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ?

def max_factor(num):
    """Find the maximum prime factor."""
    factor = 2
    while factor * factor <= num:
        while num % factor == 0:
            num /= factor
        factor += 1
    if (num > 1):
        return num
    return factor
    
print max_factor(33) #11
print max_factor(38) #19
print max_factor(600851475143) #6857