title: Find Minimum Sum Factors Number
signature: def find_minimum_sum_factors_number(num):
source_py: def find_minimum_sum_factors_number(num):
      sum = 0
      i = 2
      while ((i * i) <= num):
          while ((num % i) == 0):
              sum += i
              num /= i
          i += 1
      sum += num
      return sum
source_cpp: int find_minimum_sum_factors_number(int num) {
    int sum = 0;
    for ( int i = 2;
    i * i <= num;
    i ++ ) {
      while ( num % i == 0 ) {
        sum += i;
        num /= i;
      }
    }
    sum += num;
    return sum;
  }
question_info.test_code: import array
  import bisect
  import collections
  import datetime
  import functools
  import heapq
  import itertools
  import math
  import queue
  import re
  import string
  import sys
  from typing import Any, Dict, List, Optional, Set
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  def validate_solution(actual, expected):
      return abs(actual - expected) < 1e-06
  
  def driver(num, expected):
      try:
          if validate_solution(PLACEHOLDER_FN_NAME(
              num),
              expected
          ):
              return "PASSED"
          return "FAILED"
      except Exception as exception_obj:
          return type(exception_obj).__name__
      
  if __name__ == "__main__":
      result = driver(83, 83.0)
      print(f"TEST-0...{result}")
  
      result = driver(88, 17.0)
      print(f"TEST-1...{result}")
  
      result = driver(60, 12.0)
      print(f"TEST-2...{result}")
  
      result = driver(6, 5.0)
      print(f"TEST-3...{result}")
  
      result = driver(26, 15.0)
      print(f"TEST-4...{result}")
  
      result = driver(98, 17.0)
      print(f"TEST-5...{result}")
  
      result = driver(38, 21.0)
      print(f"TEST-6...{result}")
  
      result = driver(90, 13.0)
      print(f"TEST-7...{result}")
  
      result = driver(76, 23.0)
      print(f"TEST-8...{result}")
  
      result = driver(66, 16.0)
      print(f"TEST-9...{result}")
  
      sys.exit(0)
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.entry_fn_name: find_minimum_sum_factors_number
question_info.test_list: [{"idx": 0, "outputs": 83, "inputs": {"num": 83}}, {"idx": 1, "outputs": 17.0, "inputs": {"num": 88}}, {"idx": 2, "outputs": 12.0, "inputs": {"num": 60}}, {"idx": 3, "outputs": 5.0, "inputs": {"num": 6}}, {"idx": 4, "outputs": 15.0, "inputs": {"num": 26}}, {"idx": 5, "outputs": 17.0, "inputs": {"num": 98}}, {"idx": 6, "outputs": 21.0, "inputs": {"num": 38}}, {"idx": 7, "outputs": 13.0, "inputs": {"num": 90}}, {"idx": 8, "outputs": 23.0, "inputs": {"num": 76}}, {"idx": 9, "outputs": 16.0, "inputs": {"num": 66}}]
question_info.entry_cls_name: Solution