In mathematics, a natural number (or a whole number) is an integer greater than zero. A divisor is a number that divides another number without a remainder. In this article, we will explore how to determine the sum of divisors of a natural number n.

## Determining the Sum of Divisors of a Natural Number

The sum of divisors of a natural number n can be calculated by finding all the divisors of n, and then adding them together. To find the divisors of a natural number n, one must first determine all the factors of n. A factor of n is any number that divides n without a remainder. Once all the factors of n are determined, the divisors of n can be determined by selecting only those factors that are also natural numbers.

For example, let us consider the natural number 12. Its factors are 1, 2, 3, 4, 6, 12. Of these, only 1, 2, 3, and 12 are natural numbers. Therefore, the divisors of 12 are 1, 2, 3, and 12.

## Calculating the Sum of Divisors of n

Once the divisors of n are determined, the sum of divisors of n can be calculated by adding all the divisors together. For example, the sum of divisors of 12 is 1 + 2 + 3 + 12 = 18.

This method of determining the sum of divisors of a natural number n can be used for any natural number. To calculate the sum of divisors of a given natural number n, one must first determine all the factors of n, and then select only those factors that are also natural numbers. Finally, the sum of divisors of n can be calculated by adding all the divisors together.

In conclusion, determining the sum of divisors of a natural number n is a straightforward process that involves finding all the factors of n, selecting only those factors that are also natural numbers, and adding them together. This method can be used for any natural number, and can be used to calculate the sum of divisors of n.

In mathematics, it is often useful to be able to determine the sum of the divisors of a number. This article explains how to do so when given a natural number, n.

First, it is necessary to define what a natural number is. A natural number is an integer, or a whole number, that is positive and greater than 0. A natural number can be determined by counting or by decomposition into its prime factors.

Now that the definition of a natural number has been clarified, we can discuss how to determine the sum of its divisors. This is done by finding all of the factors of the given number and adding them together. For example, consider the natural number 14. All of the factors of 14 are 1, 2, 7, and 14. Adding these together gives 1 + 2 + 7 + 14 = 24, which is the sum of the divisors of 14.

This process can be complicated for larger numbers, especially if the prime factorization is difficult to find. In this case, the divisors of the number can be found by listing out all of its factors and adding them together.

In summary, when given a natural number, n, the sum of its divisors can be determined by finding all of the factors of n and adding them together. This technique is useful for finding the sum of divisors for a number, whether its prime factorization is simple or difficult to determine.