Emma plays with her square unit tiles by arranging all of them into different shaped rectangular figures. (For example, a 5 by 7 rectangle would use 35 tiles and would be considered the same rectangle as a 7 by 5 rectangle). Emma can form exactly ten different such rectangular figures that each use all of her tiles. What is the least number of tiles Emma could have?

 May 27, 2020

If there are 10 such rectangular figures, then there must be 10 factor pairs, or 20 total factors in the number of tiles.

Therefore, all you have to find the smallest number with 20 factors in it.

I hope you can go from there


You are very welcome!


 May 27, 2020

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