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Unformatted text preview: 33 is a product of two primes – 7 and 19. Thus it
has four total divisors: 1, 7, 19, and 133. Therefore four possible subgroups exist.
Remember, when you’re not sure if a number is prime, it’s a good idea to test the
first few possible divisors to rule them out. In this case, testing 2, 3, 5 and 7 as
possible divisors using one of the methods discussed in class this term would have
been enough to demonstrate that 133 is not in fact a prime number!...
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 Fall '08
 Trachtenberg

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