A number between 10 and 20 is both a factor of 60 and a multiple of 6 . What is the number?

To find the number between 10 and 20 that is both a factor of 60 and a multiple of 6, let's break down the problem step by step. 1. **Identify the Factors of 60 Between 10 and 20:** - The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. - Between 10 and 20, the factors are **10, 12, 15, and 20**. 2. **Identify the Multiples of 6 Between 10 and 20:** - The multiples of 6 are: 6, 12, 18, 24, ... - Between 10 and 20, the multiples are **12 and 18**. 3. **Find the Common Number:** - The only number that appears in both lists is **12**. 4. **Verify:** - **12 is a factor of 60** because 60 ÷ 12 = 5. - **12 is a multiple of 6** because 6 × 2 = 12. Therefore, the number you're looking for is **12**. **Answer:** 12