# Program to find sum of even factors of the given number using Python

## Introduction

The task is to find and print sum of even factors of the give number. ## Program

```import math
def findsum(ip_num) :
#No even factor for odd input
if (ip_num % 2 != 0) :
return 0
op_sum = 1
for num in range(2, int(math.sqrt(ip_num)) + 1) :
i = 0
temp = 1
temp1 = 1
while (ip_num % num == 0) :
i = i + 1
ip_num = ip_num // num
if (num == 2 and i == 1) :
temp = 0
temp1 = temp1 * num
temp = temp + temp1
op_sum = op_sum * temp
#If n is prime
if (ip_num >= 2) :
op_sum = op_sum * (1 + ip_num)
return op_sum
ip_num = int(input("Enter the number: "))
print("The sum of even factors of given number is: ",findsum(ip_num))```

## Output ## Explanation

If the given number is odd there is no even factor of it. For example, let us take 27, the factors of 27 are 1, 3, 9, 27. There is no even factor of 27 so we return 0.

We can write the number as

`(n1p1 ) * (n2p2 )…… (nnpn ) or (1+ n1+n12+n13+…..n1p1) * (1+ n2+n22+n23+…..n1p2) *……. *(1+ nn+nn2+n13+…..nnpn). To get the sum of even number we need to ignore n0 value (i.e. 1).`

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