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The product of two consecutive integers is 2. Find the integers.

1 Answer

5 votes

Answer:

-2 and -1 or 1 and 2

Explanation:

Consecutive integers differ by 1. We are looking for integer factors of 2 that differ by 1.

Divisors of 2

The integer divisors of 2 are -2, -1, 1, 2. That is, ...

2 = (-2)(-1) = (1)(2) . . . . . listing smallest factor first

These factor pairs are consecutive integers.

Consecutive integers

The two consecutive integers that have a product of 2 can be either of ...

  • -2 and -1
  • 1 and 2
User Ariel Kabov
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