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Chapter 0: Problem 2

Factor out the greatest common factor. $$16 x-24$$

Short Answer

Expert verified
The factored form of the expression \(16x - 24\) by factoring out the greatest common factor is \(8*(2x - 3)\).

Step by step solution

01

Identify the greatest common factor

Firstly, identify the greatest common factor for 16 and 24. Factors of 16 are: 1, 2, 4, 8, 16. Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24. The greatest common factor for 16 and 24 is 8.
02

Factor out the greatest common factor

Now, divide each term in the expression by this greatest common factor. So, the expression \(16x - 24\) becomes \(8*(2x - 3)\).
03

Check your answer

To ensure that your answer is correct, distribute the 8 back into the parentheses. 8 * 2x gives 16x and 8 * -3 gives -24, which is the original expression. That means the factored expression is correct.

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