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Omni-MATH / In how many ways can we fill the cells of a 4×4 grid such that each cell contains exactly one positive integer and the product of the numbers in each row and each column is 2020?

Problem

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problem

In how many ways can we fill the cells of a 4×44\times4 grid such that each cell contains exactly one positive integer and the product of the numbers in each row and each column is 20202020?
Plain-text mathematical notation (without MathML)
In how many ways can we fill the cells of a 4×4 grid such that each cell contains exactly one positive integer and the product of the numbers in each row and each column is 2020?
Original LaTeX notation
In how many ways can we fill the cells of a $4\times4$ grid such that each cell contains exactly one positive integer and the product of the numbers in each row and each column is $2020$?

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Source and history

task_id
f1a9058c-ea24-5a90-9a12-0b2d1099ea14
task_key
test--f1a9058c-ea24-5a90-9a12-0b2d1099ea14
task_revision_id
1
config / split
/ test

Official source

initial import