Because prime numbers only have one factor pair.
49 is not a prime number. It is the square of the prime number 7.
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
It is not impossible for a number to be prime and square, The only possible number that is prime and a square is 1, which is 1x1, and 12. Due to the fact that prime numbers are only divisible by themselves and 1, primes cannot be a square.
The square of any prime number has only three factors. Example: 121 is the square of 11, a prime number. The only factors of 121 are 1, 11, and 121 itself.
square
Only 1 rectangle can be built with a Prime number of 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.
If the tiles cannot be arranged into a rectangle or square it is a prime number.
1
The skinny one. A prime number only has two factors (one rectangle). The factors are one and the number itself.
No square number can be a prime number and conversely.
prime number
113 is prime, not square.
210 is neither a prime number or a square number.
60 is neither a square number nor a prime number.
No but it can be a square number because 1*1 = 1
An oxymoron. Prime numbers can't be square. Square numbers can't be prime. You can square a prime number: 3 x 3 - 32 = 9