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Write the sum of 56 + 64 as the product of their GCF and another sum

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3 votes

Answer:

Step-by-stFirst, find the GCF, or greatest common factor of 56 and 64.

The GCF of 56 and 64 is 8, because 8 is the square root of 64, and also goes into 56.

56 + 64 = 120

Now, you simply find any sum that, when multiplied by 8, is equal to 120.

The easiest way is to divide 120 by 8 and make a sum of the quotient.

120 ÷ 8 = 15

Therefore, any two factors of fifteen, multiplied by 8, will be your answer.

8 × (1+14)

8 × (2+13)

8 × (3+12)

8 × (4+11)

8 × (5+10)

8 × (6+9)

8 × (7+8)ep explanation:

User JoshMock
by
8.0k points
3 votes
First, find the GCF, or greatest common factor of 56 and 64.

The GCF of 56 and 64 is 8, because 8 is the square root of 64, and also goes into 56.

56 + 64 = 120

Now, you simply find any sum that, when multiplied by 8, is equal to 120.

The easiest way is to divide 120 by 8 and make a sum of the quotient.

120 ÷ 8 = 15

Therefore, any two factors of fifteen, multiplied by 8, will be your answer.

8 × (1+14)
8 × (2+13)
8 × (3+12)
8 × (4+11)
8 × (5+10)
8 × (6+9)
8 × (7+8)

Any of the seven equations above are correct.
User Atlasologist
by
7.6k points

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