This is easiest to solve by trial-and-error. Take two consecutive numbers and multiply them, for example, 20 x 21 = 420. Since this is too low, try higher numbers. If your answer is too high, try again with lower numbers, until you find the answer.
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They are consecutive odd numbers: 299 and 301.
The numbers are 24 and 25.
The sum of the first 600 consecutive odd numbers is 360,000.
The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600
24 and 25 or -25 and -24