A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
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.
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
Square numbers, greater than 1, have more than two factors.
The likely square numbers are 36 and 1. (6^2 - 1^2) However, the square numbers 324 and 289 also work. (18^2 - 17^2)
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
There are an many triangular numbers that are also square numbers. Simply put, the sum of two consecutive triangular number equals a square number. Examples include 1 and 36.
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.
The square of any odd number is also an odd number for reasons that should be obvious.
Oh, dude, you're hitting me with some math riddles now? Alright, so the smallest square number that is the sum of two square numbers is 5, because 5 = 1^2 + 2^2. It's like a math puzzle for people who actually enjoy math, you know?
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors
4 is a square number in its own right and 4*4 = 16 which is also a square number
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
Square numbers, greater than 1, have more than two factors.
The likely square numbers are 36 and 1. (6^2 - 1^2) However, the square numbers 324 and 289 also work. (18^2 - 17^2)
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.