To determine if 9729 is a prime number or a composite number, we simply look at the factors for 9729.
  
If the factors of 9729 are only 9729 and 1, then we know that 9729 is a prime number. Otherwise, 9729 is a composite number.
  
To explain better, if 9729 is only divisible by 1 and 9729, then it is a prime number, and if 9729 is divisible by more than 9729 and 1, then it is a composite number.
  
The factors of 9729 are as follows:
  
1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
  
Therefore, since 9729 is divisible by more than one and itself, the answer to the
question "Is 9729 prime or composite?" is highlighted in blue below.
  
composite
  
 
Is 9730 prime or composite? 
OK. Now you know that 9729 is a composite number. Use our logic above and see if
you can figure out if the next number on our list is prime or composite before you check your answer.
  
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