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

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

composite

A composite number.

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.

A composite number is made up of a product of prime numbers. It might be considered a non-prime number.

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composite

A composite number.

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

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

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

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

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.

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.

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

composite

A composite number.

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.