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.

Using For loop(Static Input)
Using For loop(User Input)

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 = [1]
# 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 = [1]
# 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

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