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How do you get the sum of the numbers 56 and 64 as the product of their greatest common factor and another sum

Sagot :

AL2006
First of all, as you read the problem, it should begin to dawn on you that
you'll need to know their greatest common factor.  So let's find that:

The factors of 56 are 1, 2, 4, 7, 8, 13, 28, and 56 .

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64 .

The common factors of 56 and 64 are 1, 2, 4, and 8 .

The greatest one is 8 .

56 = 8 x 7

64 = 8 x 8

So the sum of (56 + 64) is the sum of (8 x 7) + (8 x 8).

You can 'factor' 8 out of the terms of that sum, and get

                        56 + 64 = 8 x (7 + 8)  <== that's the answer
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