The two consecutive positive integers whose product is 323 are 17 and 18.
Here's how to find them:
- Understanding the Problem: We are looking for two numbers that are next to each other on the number line and multiply to give us 323.
- Using Estimation: We can estimate the square root of 323, which is approximately 18. Since 323 is a bit larger than 18², we can guess that the two integers are 17 and 18.
- Verification: To confirm, we multiply 17 and 18, which indeed equals 323.
Therefore, the answer is 17 and 18.