What is a multiple of 2 and 7?

We're looking for Common Multiples - numbers that list both 2 and 7 as factors.

Since both 2 and 7 are prime, there's no need to look at what their factors are - they are 1 and themselves.

And so a quick way to find a multiple of 2 and 7 is to multiply them:

We can now multiply 14 by any number and get another common multiple of 2 and 7. For instance, if we multiply by 10, we get:

In order to arrive at 140, we need both a 2 and 7 in the factor tree, making them common factors.

A multiple of 2 and 7 is any number that can be divided evenly by both 2 and 7. To find the multiples of 2 and 7, you can start by listing out the multiples of each number separately and then finding the common multiples. For example, the multiples of 2 are 2, 4, 6, 8, 10, 12, and so on. The multiples of 7 are 7, 14, 21, 28, 35, and so on. The common multiples of 2 and 7 are the numbers that appear in both lists, such as 14, 28, 42, 56, and so forth. Therefore, any of these numbers can be considered a multiple of both 2 and 7.