MathNet 2015-part-01 — 191 problems (EN–VI) Question 100

Real numbers are written in the cells of the $7 \times 7$ table so that the product of the numbers in any $3 \times 3$ square is equal to the product of the numbers in any $4 \times 4$ square.
Is it possible for the product of all numbers in the table to be 2015?
(V. Kaskevich)