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How can you use prime factorization to determine if two numbers are relatively prime?
Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.
How can you use the prime factorization of two numbers to determine whether they are relative prime?
If the prime factorizations have no prime factors in common, the numbers are relatively prime.
How can you use the prime factorization of two numbers to determine whether they are relatively prime?
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.
Why woul you determine prime factorization of only composite numbers?
Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.
Do all prime numbers have prime factorization?
There is no need to do prime factorization as prime numbers are already prime.
How can you use prime factorization to determine whether two numbers are relatively prime?
If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.
What is prime fatorization?
prime factorization is the factorization of numbers
Why would you determine the prime factorization of only composite numbers?
Because the prime decomposition of primes is trivial and pointless.
Does the prime factorization of any composite number include prime and composite numbers?
Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
How can you do prime factorization with prime numbers?
There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
