Python Program for Find minimum sum of factors of number
Given a number, find minimum sum of its factors.
Examples:
Input : 12 Output : 7 Explanation: Following are different ways to factorize 12 and sum of factors in different ways. 12 = 12 * 1 = 12 + 1 = 13 12 = 2 * 6 = 2 + 6 = 8 12 = 3 * 4 = 3 + 4 = 7 12 = 2 * 2 * 3 = 2 + 2 + 3 = 7 Therefore minimum sum is 7 Input : 105 Output : 15
Python3
# Python program to find minimum # sum of product of number # To find minimum sum of # product of number def findMinSum(num): sum = 0 # Find factors of number # and add to the sum i = 2 while (i * i < = num): while (num % i = = 0 ): sum + = i num / / = i i + = 1 sum + = num # Return sum of numbers # having minimum product return sum # Driver Code num = 12 print (findMinSum(num)) # This code is contributed by Sachin Bisht |
Output:
7
Time Complexity: O(n1/2 * log n)
Auxiliary Space: O(1)
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