No. But there can be more than one data point which has the same value as the mean for the set of numbers. Or there can be none that take the mean value.
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Yes.
A pair of numbers can have more than one factor because the numbers keep going on.
There are more than one: 25, 36 and 49.
38 and 12
A set is just a way of describing numbers, and numbers can be described in more than one way. If set A is (for example) all positive prime numbers, and set B is all numbers between 0 and 10, then there are some numbers (2, 3, 5, and 7) that could belong to both sets.