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Earn +20 ptsQ: How many rectangles can you make from a prime number square tile?
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How is making rectangles from square tiles help you define and identify prime numbers and composite?
If you can only make one rectangle, your number's prime. If you can make more than one, it's composite.
How many rectangles can you build with a prime number square tiles?
Given P = Prime number then you can build (P-1)/2 number of rectangles given any prime number. All prime numbers are odd and you would need two squares to make a rectangle. Given that you need two squares to build a rectangle, you divide your prime number by two to get the number of "pairs" of squares and thus the number of rectangles you can build. Since the number 2 does not divide evenly into an odd number - all prime numbers are odd - then you either subtract one from the prime number before dividing or discard the remainder if you choose not to subtract one before dividing.
What square number subtracts to a prime number to make 74?
81 - 7
How do you make a prime number by subtracting two square numbers?
16 - 9 = 7.
Can you make a square number from adding two prime numbers?
25 = 23 + 2
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