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By definition, Prime number p has two factors, 1 and p.

P2 has three factors, 1, p and p2

Therefore, p2 is composite.

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โˆ™ 2014-07-02 01:16:52
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Q: For any prime number p 5 prove that p square 2 is composite?
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Is 216 prime or composite?

It is composite. It ends in a 6, which is an even number, and the only even prime is 2. You can prove it to be composite by simply dividing it by two.216/2=108


How do you prove that a number is a composite?

To prove whether a number is composite, factor it. A number having any factor besides 1 and itself is composite.


Use the fact that there are infinitely many primes to prove that there are inifitely many non prime numbers?

For every prime number p greater than 2, p + 1 is composite.


Is the square root of 11 a whole number?

It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)


Is 12345 prime composite or niether?

-- It ends in a 5, so 5 is a factor of it. -- The sum of its digits (15) is divisible by 3, so 3 is a factor of it. It probably has tons of other factors, but either of these is enough to prove that it's composite.

Related questions

Is 216 prime or composite?

It is composite. It ends in a 6, which is an even number, and the only even prime is 2. You can prove it to be composite by simply dividing it by two.216/2=108


Reasons why square numbers are said to be composite numbers?

Prove the opposite.Assume that a square number is prime.A square number is one that is a product of a number multiplied by itselfA prime number is one that has no factors other than itself and 1.For a prime number to be square, the only choice is for it to be 1*1=1Since 1 is not a prime number, there is a contradiction, and the original premise is false.Therefore, all square numbers must be composite.â– 


How do you prove that a number is a composite?

To prove whether a number is composite, factor it. A number having any factor besides 1 and itself is composite.


How can you prove that the square root of three is an irrational number?

Because 3 is a prime number and as such its square root is irrational


Is 1637143983 prime or composite?

1637143983 is not prime. Its prime factorisation is: 3 × 3 × 7321 × 24847.In the case of this number and one ninth of all integers, the fact that it is composite can be quickly determined by calculating the core digit value, the sum of all digits reduced to one digit. The core digit value of this number is 9, and every single integer with this core digit value is a multiple of 9. This can only prove that a number is composite. A core digit value other than 9 does not prove that a number is prime.


How are prime and composite numbers used in everyday jobs?

Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.


Use the fact that there are infinitely many primes to prove that there are inifitely many non prime numbers?

For every prime number p greater than 2, p + 1 is composite.


How do you prove that ten is a composite number?

All even numbers greater than 2 are composite.


Is the square root of 11 a whole number?

It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)


Is 775 a prime number or a composite number?

If we can find one factor, besides '1' and the number itself, then the number is not prime.There may be more factors, but all we need is one in order to prove it 'not prime'.Looking at '775', we notice that it ends in '5'. This tells us that it's a multiple of '5'; in other words,'5' is a 'factor' of 775.That's all it takes. 775 is composite, not prime.


How do you prove that 20 is a composite number?

Show that it has more than two factors.


Is there an infinite number of prime numbers?

Yes, as far as we know. It is very hard to prove this wrong or right, but there are prime numbers that have been found with billions of digits.yes, because there are infant composite numbers and prime will pop up Evey one in a while

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