Olympiad workbookIOQMBasics of Mathematics
Let a b c be a three digit number with nonzero digits such that a ^2+ b ^2= c ^2 . What is the largest possible prime factor of a b c ?
Correct answer
29
Step-by-step solution
a,b,c form Pythagoras triplet aligned & abc =345 or 435 & 345=3 5 23 and 435=5 3 29 aligned Largest possible prime factor =29