Python Program for Find minimum sum of factors of number
Last Updated :
01 Aug, 2023
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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
# Python program to find minimum
# sum of product of number
# To find minimum sum of
# product of number
def find_min_sum(num):
min_sum = num
for i in range(2, int(num**0.5) + 1):
if num % i == 0:
factor = num // i
min_sum = min(min_sum, i + factor)
return min_sum
# driver code
number = 16
# Call the function and print the result
result = find_min_sum(number)
print("The minimum sum of factors for", number, "is", result)
# This code is contributed by AYUSH MILAN
Output:
8
Time Complexity: O(n1/2 * log n)
Auxiliary Space: O(1)
Please refer complete article on Find minimum sum of factors of number for more details!
