We had interlocking cubes (all the same size) in $10$ different colours, up to $1000$ of each colour. We started with one yellow cube. This was covered all over with a single layer of red cubes:
The unused cubes were put away. The many-layered cube was then broken up and each colour made into cubes. These were just of the one colour and the largest cubes possible made. For example, the red layer made three $2\times 2\times2$ cubes with two $1\times 1\times1$ cubes left over, whereas the larger layers made much larger cubes as well as smaller ones.
Which colour made into cubes had no $1\times 1\times1$ cubes?
Which colour was made into the most cubes including the $1\times 1\times1$ cubes?