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Can a prime number be a perfect square?
No.
Will the square root of a prime number be rational or irrational?
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.
No prime number can be a perfect square True or false?
True. By definition, a prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square. One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.
What is a square even and prime number?
There is not a number that is square, even, and prime. A prime number is a number with two and only two factors: 1 and itself. The only even prime number is 2, because all other even numbers are, by definition, divisible by 2, which means they have more than two factors and thus cannot be prime. A square number is the product of multiplying a number by itself, so the number which is multiplied by itsefl to create a square number is a factor of that number, meaning it has more than two factors, so it cannot be prime. A prime number cannot be even (except for the number 2) and cannot be a square number. A square number can be an even number, but can also be an odd number.
Which outcome is least likely to occur on a single spin 1 an odd number 2 a prime number 3 a perfect square 4 a number divisible by 2?
a perfect square
Can a perfect number also be a prime number and how?
A perfect number cannot be a prime.
What square numbers below 100 are also prime numbers?
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
What square numbers are there before 100 which are prime 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.
Can a prime number be a perfect square?
No.
Will the square root of a prime number be rational or irrational?
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.
Is 1 a prime number or a square number?
1 is not considered a prime number; 1 is a perfect square.
Can a perfect square be a prime number Explain?
No. A prime number is always odd.
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
Why a number cannot be both a prime number and a square number.?
Square numbers have too many factors to be prime.
What are the numbers that are prime as well as a square number?
Prime numbers cannot be square numbers.
What number is a perfect square the only prime number in its prime factorization is 2 and the sum is odd?
16
No prime number can be a perfect square True or false?
True. By definition, a prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square. One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.
