From OG:
If r and s are positive integers, is r/s an integer?
(1) Every factor of s is also a factor of r
(2) Every prime factor of s is also a prime factor of r
OA is A
I understand the answer for the most part. My question is if there is standard wording to differentiate between simply sharing prime factors and sharing exactly the right number of prime factors for (2).
Ex. if r is 18 and s is 8. In this case, the prime factors of r are 2*3*3. The prime factorization of s is 2*2*2. However the argument is that the wording really specifies that the prime factor of 8 is 2 and the prime factor of 18 is 2 and 3, but 18/8 is not an integer. What would it say to be clear that it did mean the entire prime factorization (meaning that if 8 was s, then r would have to have three 2's in its factorization)?
If r and s are positive integers, is r/s an integer?
(1) Every factor of s is also a factor of r
(2) Every prime factor of s is also a prime factor of r
OA is A
I understand the answer for the most part. My question is if there is standard wording to differentiate between simply sharing prime factors and sharing exactly the right number of prime factors for (2).
Ex. if r is 18 and s is 8. In this case, the prime factors of r are 2*3*3. The prime factorization of s is 2*2*2. However the argument is that the wording really specifies that the prime factor of 8 is 2 and the prime factor of 18 is 2 and 3, but 18/8 is not an integer. What would it say to be clear that it did mean the entire prime factorization (meaning that if 8 was s, then r would have to have three 2's in its factorization)?
