No not always because composite numbers can be the product of 2 or more prime factors
Composite
Public key encryption is based on composite numbers. In fact it is based on composite numbers which are the product of two very large prime numbers.
That is how a composite number is defined! It cannot be prime if it is a product of two integers that are bigger than one.
a composite number seems a reasonable answer.
The product of two prime numbers will be composite.
Yes, of course. In fact the product of any two numbers is composite unless one of them is 1.
composite
If the number is a product of two composite numbers, it must be 16, which is the product of 4 and 4. The prime factors of 16 are 2, 2, 2, and 2. The smallest composite number is 4, so the smallest possible product of two composite numbers is 4 x 4 = 16.
No not always because composite numbers can be the product of 2 or more prime factors
When the numbers are relatively prime.
Composite
Public key encryption is based on composite numbers. In fact it is based on composite numbers which are the product of two very large prime numbers.
When the numbers are relatively prime.
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.
Expressing 15 as a product of its primes is 3 x 5 = 15 Composite numbers can be broken down into a product of prime numbers.
Prime numbers have only two factors: one and themselves. By definition, your product would have more than that: one, the product and at least the two numbers that created the product. It has to be composite.