if x is the prime number, there will be an infinite number of rectangles of dimension (1*x)
Only 1 rectangle can be built with a Prime number of square tiles.
One.
yes they can
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.
if x is the prime number, there will be an infinite number of rectangles of dimension (1*x)
One.
Only 1 rectangle can be built with a Prime number of square tiles.
One.
yes they can
22 is a composite number with four factors, which means two rectangles.
1
The number of rectangles you can build with a prime number of tiles depends on many factors such as shape, size, and uniformity of the 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.
One.
If you can only make one rectangle, your number's prime. If you can make more than one, it's composite.
No square number can be a prime number and conversely.