To determine if 825 is a prime number or a composite number, we simply look at the factors for 825.
If the factors of 825 are only 825 and 1, then we know that 825 is a prime number. Otherwise, 825 is a composite number.
To explain better, if 825 is only divisible by 1 and 825, then it is a prime number, and if 825 is divisible by more than 825 and 1, then it is a composite number.
The factors of 825 are as follows:
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Therefore, since 825 is divisible by more than one and itself, the answer to the
question "Is 825 prime or composite?" is highlighted in blue below.
composite
Is 826 prime or composite?
OK. Now you know that 825 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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