Problem

Find all the pairs of integer factors of the given integer. Remember to include negative integers as well as positive integers.
\[
-17
\]

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The pairs of integer factors of -17 are \(\boxed{(1, -17), (-1, 17), (17, -1), (-17, 1)}\).

Steps

Step 1 :Find all the pairs of integer factors of the given integer. Remember to include negative integers as well as positive integers.

Step 2 :The factors of an integer are the numbers that divide it exactly. For a negative integer, we should also consider the negative factors. So, we need to find all pairs of positive and negative integers that multiply to give -17.

Step 3 :Since 17 is a prime number, it only has two factors: 1 and 17. Therefore, the pairs of factors of -17 are (-1, 17) and (1, -17).

Step 4 :Final Answer: The pairs of integer factors of -17 are \(\boxed{(1, -17), (-1, 17), (17, -1), (-17, 1)}\).

link_gpt