Q: What is the largest possible prime factor of a composite three digit integer?
A: The largest $3$-digit is $999$ and $\sqrt {999}=31.61....$ and the largest prime factor less than this is $31$.
The above is one example showing in the discrete math textbook under theorem
If $n$ is composite, then $n$ has a prime divisor $p$ such that $p\le \sqrt n$.
I found this question is unfounded. Let's say $37$. Basically it is one of the prime factor of $740$. So the answer provided is wrong. Am I right? I think the answer should be $499$.