Given that a mosaic at the art museum contains 2,889 tiles. Now we have to design a plan to divide the tiles into equal sections.
Let the number of sections in which equal tiles can be distributed = x
so that means x must divide total number of tiles 2889 evenly.
to divide 2889, evenly, x must be a divisor of 2889.
Divisors of 2889 are 1, 3, 9, 27, 107, 321, 2889.
So that means number of possible sections in which equal number of tiles can be distributed are 1, 3, 9, 27, 107, 321, 2889.