Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

-  56+32 = 8×11

Explanation:-

Given sum= 56+32

Rewrite the given numbers as product of prime factors

56=2×2×2×7

32=2×2×2×2×2

We know that the greatest common factor of two numbers is the greatest factor that divides any two numbers.

⇒greatest common factor=2×2×2=8

∴ 8 is the greatest common factor .

Now, 56+32

=(8×7)+(8×4)

=8(7+4)  [distributive property]

=8(11)      

=8×11=88

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