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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.
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.
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 prime factorization of two numbers to determine whether they are relatively prime?
let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime
What are coprimes?
Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.
What is the greatest common factor of numbers using prime factorization. then tell whether they are relatively prime?
Example: 4 and 9 2 x 2 = 4 3 x 3 = 9 No common prime factors. The GCF is 1. The numbers are relatively 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.
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.
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 prime factorization of two numbers to determine whether they are relatively prime?
let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime
Is two composite numbers may be relatively prime to each other?
Yes, if they have no common factors. Do the prime factorization for two numbers, and check whether they have, or don't have, common factors. Example: let one of the numbers be 2 x 3, the other 52. Since none of the numbers shares factors with the other one, they are relatively prime.
What are coprimes?
Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.
What pair of numbers is relatively prime 10 and 21 12 and 54 15 and 27 21 and 39?
I suggest factoring each pair of numbers, and checking whether they have, or don't have, common factors. A pair of numbers is said to be "relatively prime" if they have no common factors (their greatest common factor is 1). For larger numbers, Euclid's algorithm could be used, but for such small numbers, factoring is probably faster.
How can you tell whether the numbers are relatively prime?
Two numbers are relatively prime if they have no common factor other than 1. Equivalently, if their highest common factor is 1.
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.
Why can two consecutive numbers be relately prime?
A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.
Is 56 relatively pime?
No. A number by itself cannot be relatively prime. You need at least two numbers to say whether they are relatively prime or not, which is when their only common factor is 1.
