Best Answer

When one of the numbers is prime and the other is 1.

Study guides

☆☆

Q: When is the product of two numbers a prime number?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

None of them can.

A semiprime or a prime square.

679 is the product of the largest single-digit prime number and the largest two-digit prime number.

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.

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

Related questions

The product of any two numbers, neither of which is 1, is never a prime number.

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

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

No.

No - because its factors include each of the two prime numbers.

The product of two prime numbers can never be another prime number, the numbers that you multiplied are factors of the product. (example, 9 times 5 is 45, 9 and 5 go into 45)

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.

None of them can.

A semiprime or a prime square.

The product of two prime numbers will be composite.

Every composite number ... that is, one that is not a prime ... can be written as the product of two or more prime numbers. The primes themselves are the exceptions. A prime number is the product of only ' 1 ' and itself, and ' 1 ' is not considered a prime number.

No. 15 is the product of two prime numbers: 3 and 5