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How do you use distributive property to express the expression as the multiple of a sum of two whole numbers with no common factor? 27 + 99, 99+36, 3+33, 33+27, 10+50

User Mykel
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1 Answer

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22 votes
You need to find the largest common factor of each term
Both 27 and 99 can be divided by 3 and 9. 9 is larger so 27 + 99 = 9 x 3 + 9 x 11 = 9(3 + 11)

The other ones should now be easy.

When the common factor is not obvious try writing both numbers using prime factors
eg 28 + 42 = 2x2x7 + 2x3x7 = 2x7(2 + 3) = 14(2 + 3)
The non-common factors all end up in the brackets
User Xianyi Ye
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