Marinada '25

[lang=hr] U polja kvadrata $3 \times 3$ treba upisati prirodne brojeve, tako da u svakom retku i svakom stupcu produkt upisanih brojeva bude $270$. Na koliko je načina to moguće napraviti? [/lang] [lang=en] In the cells of a $3 \times 3$ square, natural numbers must be written so that in each row and each column the product of the numbers written is $270$. In how many ways can this be done? [/lang]