answersLogoWhite

0

Why are there not prime numbers in a square number?

Updated: 8/21/2019
User Avatar

Wiki User

6y ago

Best Answer

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.

User Avatar

Wiki User

6y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

6y ago

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.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why are there not prime numbers in a square number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is there any prime numbers that are square 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.


What are the numbers that are prime as well as a square number?

Prime numbers cannot be square numbers.


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.


What is a square prime number?

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


Why a number cannot be both a prime number and a square number.?

Square numbers have too many factors to be prime.


Are square numbers also prime numbers?

Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors


Explain why a prime number can't be a square number?

Prime numbers have two factors. All square numbers (other than 1) have more than that.


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 are prime numbers that are square between 1-100?

A prime number can't be divided, then it's not a square


Which is not a prime number in the 100 square grid?

Numbers with more than two factors are not prime numbers


What number can be written as the product of two prime numbers?

A semiprime or a prime square.


What are 5 prime multiples and square numbers of 50?

25 is a square number that is a factor of 50 and a multiple of the prime number 5.