Question

Why do you divide each term in the sum by the same factor that you pull out of the sum?

Answer 1

We do so to follow the rule of divisibility of each term(numbers).

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The Rule of Divisibility:

The rule of divisibility of numbers is a method applied in mathematics used to determine if a number or set of numbers is divisible by a particular integer without any remainder.

Let assume that we have a series of numbers;

• 2, 4, 6, 8, 10

From the rule of divisibility, since all the numbers are multiples of 2;

We can deduce that 2 can be the factor that is pulled out from the series to divide each term in the sum.

Learn more about the rule of divisibility here:

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