Two consecutive integers have a product of 132. Find the integers

The difference between consecutive integers is 1.

Let x = smaller integer.

Then x + 1 is the next greater consecutive integer.

x (x + 1) = 132

x^2 + x - 132 = 0

(x + 12) (x - 11) = 0

x + 12 = 0 or x + 11 = 0

x = - 12 or x = - 11

Since x is the smaller of the two integers, the answers are:

-12, - 11

11, 12

There are two pairs of such integers.