[ Arithmetic. Mental calculation, etc.]

The kids brought a full basket of mushrooms from the forest. In total, 289 mushrooms were collected, and each basket had the same number of mushrooms. How many kids were there?

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Notice that the total number of mushrooms collected is equal to the product of the number of children and the number of mushrooms in each basket.

## Solution

The total number of mushrooms collected is equal to the product of the number of children and the number of mushrooms in each basket. Let's represent the number 289 as a product of two factors. This can be done in two ways: \(289 = 1 \times 289\) or \(289 = 17 \times 17\). The cases of "1 child" or "1 mushroom" are not suitable, as the problem states that there were many children and mushrooms. Therefore, the only remaining option is that 17 children went to the forest, and each of them brought 17 mushrooms.

## Answer

17.

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