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To determine the possible ways to divide the children into groups, we need to find the factors of 23 (excluding 1 and 23, as each group must have more than 2 children).
The factors of 23 are: 1 and 23.
Thus, the possible ways to divide the children into groups are 23 children in one group and 1 child in another group.
Therefore, the answer is: None of the above.