### Instruction: The product of two positive consecutive integers is 506. What is their sum?### Response: I need to find two numbers x and x+1 that multiply to 506.
I can try to factor 506 into two factors that are close to each other.
506 = 2 * 253, but 2 and 253 are not consecutive.
506 = 22 * 23, and these are consecutive, so I found them.
Their sum is 22 + 23 = 45.