f the sum of all the whole number factors of a number is 1 more than the number, then the number must be a prime number.
A prime number is a number greater than 1 that can only be divided evenly by 1 and itself. Therefore, the only factors of a prime number are 1 and the number itself.
Let's consider an example to understand this concept better.
Suppose we have the number 5. The factors of 5 are 1 and 5. If we sum these factors, we get 1 + 5 = 6, which is 1 more than the number itself (5).
On the other hand, if we take a non-prime number, like 8, its factors are 1, 2, 4, and 8. If we sum these factors, we get 1 + 2 + 4 + 8 = 15, which is not 1 more than the number itself (8).
Therefore, if the sum of all the whole number factors of a number is 1 more than the number, then the number must be a prime number.
