Answer:
4 muffins per plate (13 plates)
Other answers are possible. See below
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Explanation:
The factors of 52 are: 1, 2, 4, 13, 26, 52
If Aleesia picks any of those values, then she will divide the muffins up equally.
For example, if she puts 4 muffins per plate, then that means she'll have 13 plates since 4*13 = 52.
Or she could put 2 muffins per plate to get 26 plates (because 2*26 = 52).
Side note: A prime factor tree might be helpful.