# What is a multiple of 2 and 7?

##### 1 Answer

Mar 3, 2018

14 is one. See below for more...

#### Explanation:

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.