To determine if 9750 is a prime number or a composite number, we simply look at the factors for 9750.
If the factors of 9750 are only 9750 and 1, then we know that 9750 is a prime number. Otherwise, 9750 is a composite number.
To explain better, if 9750 is only divisible by 1 and 9750, then it is a prime number, and if 9750 is divisible by more than 9750 and 1, then it is a composite number.
The factors of 9750 are as follows:
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
Therefore, since 9750 is divisible by more than one and itself, the answer to the
question "Is 9750 prime or composite?" is highlighted in blue below.
composite
Is 9751 prime or composite?
OK. Now you know that 9750 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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