What are all the multiples of 7 and 2?

Question

Gianna Caruso · Accepted Answer

Any multiple of 7 that is even

Any positive number that is even is a multiple of 2 (multiples cannot be negative). Therefore, any multiple of 7 that is even (ex. 14, 28, 56, 70, 700), is also a multiple of 2. Anything multiplied by 7 that is a positive even number will result in another even number (and a multiple of 2).

HIX Tutor · Answer

undefined Great question! Let's find the multiples of 7 and 2 together.

1. **What is a multiple?**  
   A multiple is what you get when you multiply a number by whole numbers (like 0, 1, 2, 3, etc.).

2. **Start with the multiples of 7:**  
   - 7 x 0 = 0  
   - 7 x 1 = 7  
   - 7 x 2 = 14  
   - 7 x 3 = 21  
   - 7 x 4 = 28  
   - 7 x 5 = 35  
   - ... and so on.

3. **Now, let's find the multiples of 2:**  
   - 2 x 0 = 0  
   - 2 x 1 = 2  
   - 2 x 2 = 4  
   - 2 x 3 = 6  
   - 2 x 4 = 8  
   - 2 x 5 = 10  
   - ... and so on.

4. **Next, let’s look for multiples of both 7 and 2.**  
   We need to find numbers that show up in both lists.

5. **What are they?**  
   - The first common multiple is 0.  
   - The next one is 14 (from 7 x 2) and 28 (from 7 x 4 or 2 x 14).

6. **More examples:**  
   Can you think of more numbers we can find that might be multiples of both?

So, are there any specific numbers you think might work?