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By definition, a product of two primes has atwo factors (other than 1 and itself) and so it cannot be prime. So the set is not closed.

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Q: Are prime numbers is closed under multilplication?
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Related questions

Are the prime numbers closed under multiplication?

No.


Are prime numbers closed under subtration?

No.


Are prime numbers always closed under addition?

No.


Are prime numbers closed under addition?

no, not all prime numbers are closed under addition. why? because, when you add 2 prime numbers you will not always get a prime number. example: 5+3= 8 5 and 3 are prime numbers but their sum is 8 which is a composite number..


Are prime numbers is closed under multiplication?

No. The product of two primes cannot, by definition, be a prime.


Are composite numbers closed under addition?

No, they are not. You can add two composite numbers, 15 and 14 for example, and get a sum, 29, that is prime.


Are prime numbers closed under subtraction?

No.


What is closed and not-closed under addition?

The set of even numbers is closed under addition, the set of odd numbers is not.


Why are odd integers closed under multiplication but not under addition?

The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.


Prime numbers under 6?

Prime Numbers under 6 are 2,3,5


Is 5 closed under multilplication?

No. Closure under multiplication is a property of a set of numbers. It requires that if x and y are elements of the set (not necessarily different), then x*y is also an element of the set. If the set consists only of the number 5, ie S = {5}. Since 5 belongs to S, closure would require that 5*5 belongs to the set. It clearly does not and so the set cannot be closed.


How many prime numbers are under 140?

There are 34 prime numbers under 140.