Concept: Number of Factors of number

Let us suppose you have given number 240 to find the number of factors

Factor representation of 240 is

Using conventional method, you can find number of factors by manual calculation

So using this old method we can figure out that there are total 20 factors of number 240.
But this method is tedious and consumes lot of time.



SHORTCUT METHOD

Step 1: Factor representation


Step 2: Multiplication of (individual power+1)

a. Take power of all the factors
b. Add +1
c. Multiply all the numbers, you will get the answer

This way you can easily find the number of factors present in any number

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