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What multiplies to -126 but adds to 5?

User Cudos
by
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1 Answer

2 votes
Factorization of -126:
-1 × 2 × 3 × 3 ×7
No matter how we group these, because of the associative prop of multiplication, when we multiply them all together we will end up with -126.
Now we need to draw two groups of these numbers that add to 5.
(-1 × 2 × 3) + (3 × 7) = (-6) + (21) = 15
This is too much, our groupings need to be closer together in value.
(-1 × 2 × 3 × 3) + (7) = (-18) + (7) = -11
Getting closer to 0...let's shift off that low-value 2.
(-1 × 3 × 3) + (7 × 2) = (-9) + (14) = 5

The answer is -9 and 14.

User Aprille
by
9.2k points

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