A three digit no. ‘mnp’ is a perfect square and the no. of factors it has is also a perfect square.It is also known that the digits m,n,p are distinct.
if (m+n+p) is also a perfect square,what is the no. of factors of the six digit no. mnpmnp?
a)32
b)72
c)48
d)cannot be determined
ans is 32. there is only one 3 digit no. which satisfies all the required criteria & that is 196. so if we find all factors of 196196, we get overall 32 factors
@vivek rathi: How did you arrive at 196? was it trial and error or is there a method?
@vivek rathi: How did you arrive at 196? was it trial and error or is there a method?