MathDB

66

Part of PEN A Problems

Problems(1)

A 66

Source:

5/25/2007
(Four Number Theorem) Let a,b,c,a, b, c, and dd be positive integers such that ab=cdab=cd. Show that there exists positive integers p,q,r,sp, q, r,s such that a=pq,    b=rs,    c=ps,    d=qr.a=pq, \;\; b=rs, \;\; c=ps, \;\; d=qr.
Divisibility Theory