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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.
Can you list two composite numbers whose product is prime?
No, because a prime number that has only two factors, 1(which is niether prime nor composite) and itself(prime).
Is the product of 2 numbers a prime number?
The product of two numbers could be either a composite number or a prime number. If one of those numbers is 1 and the other is a prime number, the result is that prime number. If neither number is 1, the product of the two numbers will be a composite number. If one of those numbers is 1 and the other is not a prime number, the product will not be a prime number. So, in most cases, it will be a composite number.
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.
Which numbers are not composite numbers?
Composite numbers have more than two factors. So, the numbers which have two or less than two factors are not composite numbers. Numbers which have exactly two factors are prime numbers. 1 is an exceptional case because it is neither prime nor composite since it has only one factor which is 1.
