142k views
2 votes
Apply the distributive property to factor out the greatest common factor.

56
+
32
=

2 Answers

7 votes

Answer:

8(7+4)

Explanation:

8 is the greatest common factor of 56 and 32

56+32

= 8⋅7+8⋅4

The answer:

8(7+4)

User Sergey Sosnin
by
8.8k points
5 votes

Answer:

8 * (7 + 4)

See process below

Explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

88

User Nderscore
by
8.0k points

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