 # Python Program to Get Sum of all the Factors of a Number

In the previous article, we have discussed Python Program to Find Product of Values of elements in a Dictionary
Given a number, and the task is to get the sum of all the factors of a given number.

Factors are numbers or algebraic expressions that divide another number by themselves and leave no remainder.

Example: let the given number = 24

# The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24

The sum of all the factors of 24 = 1+2+ 3+4+6+ 8+12+24 = 60

Examples:

Example1:

Input:

Given Number = 24

Output:

The Sum of all the factors of { 24 } is =  60

Example 2:

Input:

Given Number = 140

Output:

The Sum of all the factors of { 140 } is =  336

## Program to Get Sum of all the Factors of a Number

Below are the ways to get the sum of all the factors of a given number.

### Method #1: Using For Loop (Static Input)

Approach:

• Give the number as static input and store it in a variable.
• Take a list and initialize it with ‘1’ and store it in another variable.
• Loop from ‘2’  to the above-given number range using For loop.
• Check whether the given number modulus iterator value is equal to ‘0’ or not using if conditional statement.
• If the statement is True, append the iterator value to the above-declared list.
• Get the sum of all the factors of the above-given list using the built-in sum() function and store it in another variable.
• Print the sum of all the factors of a given number.
• The Exit of the program.

Below is the implementation:

# Give the number as static input and store it in a variable.
gvn_numb = 24
# Take a list and initialize it with '1' and store it in another variable.
all_factors = 
# Loop from '2' to above given number range using For loop.
for itr in range(2, gvn_numb+1):
# Check whether the given number modulus iterator value is equal to '0' or not
# using if conditional statement.
if gvn_numb % itr == 0:
# If the statement is True ,append the iterator value to the above declared list .
all_factors.append(itr)
# Get the sum of all the factors of above got list using built-in sum() function
# and store it in another variable.
reslt = sum(all_factors)
# Print the sum of all the factors of a given number.
print("The Sum of all the factors of {", gvn_numb, "} is = ", reslt)


Output:

The Sum of all the factors of { 24 } is =  60

### Method #2: Using For Loop (User Input)

Approach:

• Give the number as user input using int(input()) and store it in a variable.
• Take a list and initialize it with ‘1’ and store it in another variable.
• Loop from ‘2’  to the above-given number range using For loop.
• Check whether the given number modulus iterator value is equal to ‘0’ or not using if conditional statement.
• If the statement is True, append the iterator value to the above-declared list.
• Get the sum of all the factors of the above-given list using the built-in sum() function and store it in another variable.
• Print the sum of all the factors of a given number.
• The Exit of the program.

Below is the implementation:

# Give the number as user input using int(input()) and store it in a variable.
gvn_numb = int(input("Enter some random number = "))
# Take a list and initialize it with '1' and store it in another variable.
all_factors = 
# Loop from '2' to above given number range using For loop.
for itr in range(2, gvn_numb+1):
# Check whether the given number modulus iterator value is equal to '0' or not
# using if conditional statement.
if gvn_numb % itr == 0:
# If the statement is True ,append the iterator value to the above declared list .
all_factors.append(itr)
# Get the sum of all the factors of above got list using built-in sum() function
# and store it in another variable.
reslt = sum(all_factors)
# Print the sum of all the factors of a given number.
print("The Sum of all the factors of {", gvn_numb, "} is = ", reslt)


Output:

Enter some random number = 140
The Sum of all the factors of { 140 } is = 336

Explore more instances related to python concepts from Python Programming Examples Guide and get promoted from beginner to professional programmer level in Python Programming Language.