Two places 1, three places are missing two places, and five places are missing four places.

Explain that if there are 1 prizes, then the number of prizes is the common multiple of 2, 3 and 5. At least a few questions are needed, that is, finding the least common multiple of 2, 3 and 5.

The common multiple of 2, 3 and 5 is 2x3x5=30.

Number of prizes: 30- 1=29.

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