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The product of two prime numbers will be composite.

Q: Is the product of two prime numbers composite or prime?

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

No, because a prime number that has only two factors, 1(which is niether prime nor composite) and itself(prime).

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.

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.

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.

Related questions

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

A composite number is the product of two or more prime numbers.

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

composite

Composite

When the numbers are relatively prime.

A composite number is the product of two or more prime numbers. A prime number has exactly two factors, 1 and the number itself; a composite number has at least one more factor than the two that a prime number has.

Prime numbers only have two factors, one and themselves. If you multiply two prime numbers together, the new number will also have the two prime numbers as factors, making it composite. Try it out. 5 and 7 are prime. 35 is 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.

The product of two prime factors is the result of multiplying the two prime numbers together.

When the numbers are relatively prime.

No, because a prime number that has only two factors, 1(which is niether prime nor composite) and itself(prime).