No because it has 5 factors and they are 1 2 4 8 and 16
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They are: 6, 8, 10 and 15 all of which have 4 factors
Those are the proper factors of 96.
Indeed, the number 16 has 5 factors, 1, 2, 4, 8, and 16.
The composite factors of 48 are 4, 6, 8, 12, 16, 24, 48
The composite numbers less than 16 that have exactly 4 factors are 6, 9, and 14. Their factors are as follows: 6: 1, 2, 3, 6 9: 1, 3, 9 14: 1, 2, 7, 14