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Fractions in a Box

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Remember the booklet in the corner of the box is square, so how many holes could it take up?
The whole box, without the space for the booklet, would fit $100$ discs, so the number of discs must be $100$, less the square number taken up by the booklet.
What do you know about the factors of the total number of discs?