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Hi I have a question about discret math problem. I would like to know the \"step

ID: 3121108 • Letter: H

Question

Hi I have a question about discret math problem. I would like to know the "step by step" to how to get the answer in *words* and showing numbers in easier way please. (with out using Euclid theorem..) thank you. The question is " Perfect Number. The only natural numbers that divide evenly into 6, other than 6 itself are 1,2, and 3. Notice that the sum of all those numbers equals the original number 6 (1 + 2 + 3 = 6). What is the next number that has the property of equaling the sum of all the natural numbers other than itself that divide evenly into it? such numbers are called perfect numbers. No on knows whether there are infinitely many perfect numbers. In fact, no one knows whether there are any odd perfect numbers. These two unsolved mysteries are examples of long standing open question in the theory of numbers."

Explanation / Answer

Solution:

Perfect Number are those whose sum of their factor

( Not Including the same number)

therefore After 6 ( 1 + 2 + 3)

we have next number is 28

because 28 can be represent in factor of = 28x1 = 2x14 = 4x7 =

therefore

28 = 1 + 2 +4 + 7 +14

Answer : 28  is the next number that has the property of equaling the sum of all the natural numbers other than itself that divide evenly into it.