Your question:

Creating a Divisibility Rule The divisibility rule for 6 is created using two relatively prime numbers that multiply to equal 6. Look up what relatively prime means and write the definition below. Using your definition of relatively prime, what two relatively prime numbers multiply to equal 12? Write a divisibility rule for 12 using the divisibility rule for 6 as a model and the concept of relatively prime numbers. Now, write a divisibility rule for 14 using the concepts you learned about the divisibility rule for 12. Write a divisibility rule for 15 using the same concepts from above.

Assignment Help Answers with Step-by-Step Explanation:

A number is divisible by 12 if it is divisible by both 3 and 4.

To create a divisibility rule for 14 based on the rule for 12:

A number is divisible by 15 if it is divisible by both 3 and 5.

These rules are based on the concept of choosing two relatively prime numbers whose product equals the number for which you want to create a divisibility rule. Then, you require that the given number must be divisible by both of those relatively prime numbers to be divisible by the target number.