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Python Program for Find minimum sum of factors of number
• Last Updated : 30 Nov, 2018

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` `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
```

Please refer complete article on Find minimum sum of factors of number for more details!

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