Derivation, logic and formula to find the product of all factors of a positive integer.
The method to find the product of all factors of a number:
Step 1: Compute the number of factors for the number.
Step 2: The product of all factors of the number including 1 and the number = (the number)^(number of factors/2)
For example: Find the product of all factors of 10.
Step 1: Compute the number of factors for 10. 10 has 4 factors. 1, 2, 5, and 10.
Step 2: Product of all factors of 10 = 10^(4/2) = 10^2 = 100
The video walks through the logic behind using this method. A very simple process especially given that we have discussed a shortcut to find the number of factors of a number in https://youtu.be/QTV6zWdrUOQ
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