IXL | Factor numerical expressions using the distributive property

Which expression shows a way to factor

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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 54 and 30. List the factors of both numbers, then find the greatest factor that appears in both lists.

Factors of 54: 1, 2, 3,

9, 18, 27, 54

Factors of 30: 1, 2, 3, 5,

10, 15, 30

The GCF of 54 and 30 is

Write each number as the product of 6 and another factor.

54
=
6
9
30
=
6
5

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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F.6Greatest common factor

Lesson: Greatest common factor

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