Video Transcript
Find three different pairs of
integers, where each pair has a product of negative 24.
The product of two numbers is the
value we get when we multiply them together. In this question, we need integers;
those are whole numbers. So, we’re simply going to begin by
finding the factor pairs of 24. Remember, factors of a number are
numbers that divide in without leaving a remainder. We know that 24 divided by one is
24. So, one and 24 is a factor pair of
24. Similarly, two times 12 is 24. So, two and 12 is a factor
pair. Three and eight is another factor
pair, as is four and six.
But we’re trying to find a pair of
integers whose product is negative 24. And so, we recall that a negative
integer times a positive integer, or, of course, the other way round, gives a
negative result. So, to get negative 24, we could
use negative one and 24 or one and negative 24. We could use negative two and 12 or
two and negative 12. We could use negative three and
eight or three and negative eight, or, finally, negative four and six or four and
negative six. Any of these pairs will work. We have a total of eight different
pairs we could use. We’re going to use three and
negative eight, two and negative 12, and six and negative four.