== == Yes. Once we open the field from integers to composite numbers, the gloves come off and lots of things are possible. Example: 1 1/2 = 3 x 1/3. The factor 3 is prime. All composite numbers have prime numbers as factors. Examples: 4 is a composite number of 2 x 2.
38 is a composite number of 2 x 19.
66 is a composite number of 2 x 3 x 11. == ==
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Prime numbers are numbers with only two factors. Composite numbers are numbers with more than two factors.
Composite numbers have more than two factors. So, the numbers which have two or less than two factors are not composite numbers. Numbers which have exactly two factors are prime numbers. 1 is an exceptional case because it is neither prime nor composite since it has only one factor which is 1.
Prime numbers have two factors, composite numbers have more than two.
41 is a prime number. It has no composite numbers as factors.
There are not any numbers that are both prime and composite. A prime number has exactly two factors. A composite number has more than two factors.