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Yes, it is always. Assume temporarily that the product of two prime numbers is not always composite. This implies that that at least one product of prime numbers is also prime. Now, say two different prime numbers p and q, when multiplied, equal r. If r is a Prime number, then r's only positive factors are 1 and r. But 1 is not a prime number. This contradicts that both p and q are prime (because either p or q MUST be 1). Therefore, the product of two prime numbers is always composite.
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Does prime factorization of composite numbers include prime and composite numbers?
No, prime factorizations consist entirely of prime numbers.
What kind of numbers must always use with a prime factorization?
Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.
Is the product always the least common multiple of the numbers?
No, only if the numbers are relatively prime.
What are factor and factoring in math?
Factoring is like taking a number apart. It means to express a number as the product of its factors. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite). Chihuahua1492 :0
Is the LCM of a prime number and a composite number a multiple of the prime number?
Yes, the least common multiple (LCM) of a prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.
Are all composite numbers the product of two prime number?
No not always because composite numbers can be the product of 2 or more prime factors
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.
Is the product of two prime numbers composite or prime?
The product of two prime numbers will be composite.
Is the product of 2 prime numbers always a composite number?
Yes
Prime is writing a composite number as a product of prime numbers?
Prime factorization is writing a composite number as a product of prime numbers.
Can composite numbers be written as the product of prime factors?
Yes. Composite numbers can be written as the product of prime factors.
What is the term for composite numbers can be written as a product of prime numbers?
the prime factorization
Product of prime numbers?
A composite number.
What is a product of a prime number?
A composite number is the product of two or more prime numbers.
What are numbers that can be factored as a product of prime numbers called?
composite
What is it called when you show a composite number as a product or prime number?
Showing a composite number as a product of prime numbers is called prime factorization.
Which prime numbers can be mulitiplied to form?
Prime numbers are used to find the product of the prime factors of composite numbers.
