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Prime if n=1, composite otherwise.
Composite. It is divisible by 3 for any n.
Are you asking is 525 prime? The a nswer is no. It is a composite number. Are you aski ng what is the prime factorizatio n of 525? Prime factorizatio n of 525 = 3 * 5 * 5 * 7
No, if you think that you have it, you can always find one that is larger. Take, for example you find an even composite number (all even numbers, except 2 - which is the only even prime, are composite). Call this number N. Now add 2 to N for N+2, which is also even, so it is also a composite. What about odd composites: if you find an odd composite(M), then add 1 to it: odd+odd=even, so M+1 is even, which is also composite. You can keep going forever.
One way is to divide by all smaller numbers, up to the square root of that number. In practice, you can omit even numbers (except 2), and any number which you know is prime. Thus, for any number up to 120, it is enough to try to divide by 2, 3, 5, 7. If any of these divisions yields an integer, then the number you divided by is a factor - and your original number is composite.