Question

Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible arrangements?​

Answer 1

Since
`64= 2^6`, you have the following arrangements.

Optional:
`64 * 1` (and it's mirror version
`1 * 64`, if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

`32 * 2` and it's mirror
`2 * 32`;

`16 * 4` and it's mirror
`4 * 16`;

Optional:
`8 * 8`. Since a square is a rectangle with extra limitations.