It goes as following: Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s?
My immediate thought is that this is a question that tests the factor foundation rule. The factor foundation rule states that if a is a factor of b, and b is a
factor of c, then a is a factor of c. However, the question only mentions 6 as a divisor. It didn't state that 6 divides evenly into r with no remainder (and thus 6 is a factor of r). Thus, I concluded that I cannot apply the factor foundation rule, and answered "Cannot Be Determined".
However, in the answer key, it states that by the factor foundation rule, if 6 is a factor of r and r is a factor of s, then 6 is a factor of s.
Can any one give some insight on why this is the case? Any help is greatly appreciated!
