Such Big, Much Scare, Many Easy!Number Theory Level 4
Given that \(1002004008016032\) has a prime factor "\(P\)" which is greater than \(250000\), find \(P\)
Note-Computational devices are not allowed. This problem is taken from an old math contest. If you're the one who's gonna use a program/ a super-calculator to churn out the answer -you're most welcome to stay away!
If you solve this problem, Please post solutions too!