The set of prime numbers or any subset of it.
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2, 3, and 5 are all prime numbers and that is the only set of prime numbers that multiples to 180.
A set which contains any irrational or complex numbers.
The set of integers is the same as the set of whole numbers.
The set of prime factors of the numbers from 1 to 15,000 would be the set of prime numbers between 1 and 15,000. The link below has a list of the first 10,000 prime numbers, so if you take the primes less than 15,000, you will have the set of prime factors of the first 15,000 numbers. For prime factors of individual numbers, check the related question, "What are the prime factors of the numbers from 1 to 200?" Also check for WikiAnswers questions in the form of "What are the prime factors of __?" and "What are the factors and prime factors of __?"
It is uncountable, because it contains infinite amount of numbers