Given M and N are whole numbers. Find the greatest value of the product M x N such that each of the following is true:

M*N is less than 98

M has exactly two factors

N has exactly three factors

M and N are relatively prime

Guest Dec 14, 2020

#2**0 **

I just want to say I think the other guest is correct but I believe it is 92, since 23*4 = 92 :)

Guest Dec 16, 2020

#3**0 **

it is 92, M and N are 23 and 4

to solve: M has to be prime and N has to be a square, we start off with 4 as that is the smallest square ( we dont count 1) and already, 23 is the biggest prime when multiplied by 4 that the answer is still less than 98

source: i already took the MOEMS and got a 5 (I put 92 as my answer for 2E)

Guest Dec 20, 2020

edited by
Guest
Dec 20, 2020