Concept: Sum of Factors of number

Sum of Factors Calculation
Let us suppose that you are asked to find the sum of all the factors of a number.

Let the number be 240
Factor representation of 240 will be like

From the above representation, we can write total factors as

You can see from the above calculations, there are 20 numbers which divide (factors) 240.
Now imagine if you are asked to calculate the sum of all the 20 numbers, the process get tedious and consumes lot of time.
Instead of manual calculation, we will use shortcut method to find the sum of all the factors.

You can see from above how easy it is to calculate sum of factors using the shortcut method.
Use this method to solve question asked in various competitive examinations.

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