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Q: Are prime numbers always closed under addition?
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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 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.


Do 2 prime numbers always get a composite number?

The answer depends on how the numbers are combined: addition, subtraction or multiplication.


Are the prime numbers closed for subtraction?

No.


Are prime numbers closed under subtration?

No.


Are the prime numbers closed under multiplication?

No.


Are co prime numbers always or never prime numbers?

Sometimes.


What type of numbers can you multiply to always find the LCM?

prime numbers, co-prime numbers


Are two prime numbers always sometimes or never relatively prime?

Always


Why are no prime numbers perfect numbers?

Prime numbers have two factors. The sum of their proper divisors is always 1.


What is the difference between positive and prime factors?

Factors are just numbers. Some numbers are positive, some negative. Some numbers are prime, some composite. A prime factor is always positive, but a positive factor is not always prime.


Can any two prime numbers be relatively prime?

It is, and always is relatively prime.


Is the number of two prime numbers prime?

Combining prime numbers other than 2, whether through addition or multiplication, will result in a composite number.


When is product of 2 prime numbers a prime number?

The product of two prime numbers is always a composite number, and it never is a prime number.


How many prime numbers are even numbers?

There is only one even prime number: 2. All other even numbers have 2 as a factor, in addition to 1 and themselves, so they cannot be prime numbers.


Why can't two consecutive whole numbers be prime?

In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.


Are odd numbers always a prime number?

No.


Is 341 prime?

341 is not a prime number. Prime numbers are defined as numbers which can be divided by 1 and themselves. 341 can be divided by 11 and 31 in addition to 1 and iteslf. Hence, 341 is not a prime number.


Is the gcf of 2 prime numbers sometimesneveror always 1?

Always


Are prime numbers is closed under multiplication?

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


What are Prime numders?

Prime numbers are whole numbers that are not divisible by anything but one and itself. Examples of prime numbers include 1;2;3;5;7;9... etc. Prime numbers must always be odd (except for 2) but not all odd numbers are prime. For example, 21 is odd, but it is divisible by 3 and 7. Therefore, it is not prime.


Is the greatest common factor of two different prime numbers always 1?

Yes, the greatest common factor of two different prime numbers is always 1


Will a prime number always have an odd numbers of factors?

All prime numbers have only 2 factors which are themselves and one. Al prime numbers are odd numbers except for 2 which is the only even prime number.


Does two prime numbers always add up to an even number?

No, they do not. If one of the prime numbers is 2, you will have an odd number.


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.