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The numbers 2, 3, 5, 7, 11, 13 are arranged in a multiplication table, with three along the top and the other three down the left. The multiplication table is completed and the sum of the nine entries is tabulated. What is the largest possible sum of the nine entries?

\( \begin{array}{c||c|c|c|} \times & a & b & c \\ \hline \hline d & & & \\ \hline e & & & \\ \hline f & & & \\ \hline \end{array} \)

 May 16, 2021
 #1
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The largest possible sum is 14 + 21 + 35 + 22 + 33 + 55 + 26 + 39 + 65 = 310.

 

   2 3 5

7 14 21 35

11 22 33 55

13 26 39 65

 May 16, 2021
 #2
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that's incorrect

Guest May 16, 2021
 #3
avatar+32762 
+1

I think it would be this

 

     5     7     11

13

2

3                                because you want 13 multiplid by the largest numbers to get the largest result ......let me know if I am incorrect !

 May 16, 2021

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