IXL | Factor numerical expressions using the distributive property

Which expression shows a way to factor

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Learn with an example

question

Which expression shows a way to factor

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key idea

The greatest common factor (GCF) of two or more whole numbers is the largest factor that all of the numbers have in common.

The distributive property of multiplication says that

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For example,

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solution

Start by finding the GCF of 55 and 33. List the factors of both numbers, then find the greatest factor that appears in both lists.

Factors of 55: 1, 5,

11,

Factors of 33: 1, 3,

11,

The GCF of 55 and 33 is

11.

Write each number as the product of 11 and another factor.

55
=
11
5
33
=
11
3

Now use the distributive property to write an equivalent expression with the GCF as a factor.

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So, the correct expression is

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Looking for more? Try these:

Lesson: Greatest common factor

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