That should be quite obvious from the definition of a) square, and b) Prime number.A square is the product of a number by itself. For example, 3 x 3. Therefore, the square of 3 has the number 3 as a factor.
A prime number does NOT can NOT be split up into smaller factors.
Actually, 2 is the square of sqrt(2). Therefore, 2 is a prime as well as a square even though it is not a perfect square. So your assertion is nonsense!
If you limit yourself to perfect squares, then these comprise the numbers {n2 : n is an integer}.
1, n and n2 will be different factors of n2 for any n greater than 1. And for n = 0 and 1, n2 = 0 or 1, which are outside the domain of prime numbers.
No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.
Prime numbers cannot be square numbers.
A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.A square number, by definition, cannot be a prime so the answer is there are no such numbers.
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
Square numbers have too many factors to be prime.
Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors
Prime numbers have two factors. All square numbers (other than 1) have more than that.
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
A prime number can't be divided, then it's not a square
Numbers with more than two factors are not prime numbers
A semiprime or a prime square.
25 is a square number that is a factor of 50 and a multiple of the prime number 5.