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Q: Is the product of 2 prime numbers always a composite number?
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Are all composite numbers the product of two prime number?

No not always because composite numbers can be the product of 2 or more prime factors


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.


Why any prime numbers and composite number always be a composite number?

If you mean the product, that's by definition. A composite number has smaller factors. If you multiply two positive integers, none of which is 1, together, then it follows that the product has smaller factors - namely, the numbers you multiplied together.


Prime is writing a composite number as a product of prime numbers?

Prime factorization is writing a composite number as a product of prime numbers.


When two composite numbers are multiplied together will the product be a prime number or a composite number?

composite


Product of prime numbers?

A composite number.


Is the product of two composite numbers also a composite number?

Yes, of course. In fact the product of any two numbers is composite unless one of them is 1.


To find a composite number why divide by prime numbers?

You could try dividing by composite numbers but the number that you are testing is divisible by a composite number, then it will be divisible by a prime factor of that composite number and that prime factor will be smaller. It is always easier to work with smaller numbers.


What is it called when you show a composite number as a product or prime number?

Showing a composite number as a product of prime numbers is called prime factorization.


Is the product of two prime numbers is always composite?

Yes, it is always. Assume temporarily that the product of two prime numbers is not always composite. This implies that that at least one product of prime numbers is also prime. Now, say two different prime numbers p and q, when multiplied, equal r. If r is a prime number, then r's only positive factors are 1 and r. But 1 is not a prime number. This contradicts that both p and q are prime (because either p or q MUST be 1). Therefore, the product of two prime numbers is always composite.


Is 33 a composite number?

I believe it is. A composite number is a number that is the product of two other numbers multiplied, isn't it?


The product of two primes?

Product of two prime numbers is a composite number. e.g. 2 x 3 = 6, 3 x 17 = 51 etc. But, why the result is a composite number? Definition of composite number makes it much clear: A number which can be expressed as the product of prime numbers is called a composite number. Also, it has more than two factors. So, product of two primes is a composite number.