**Divisibility? What is that? **

Divisibility is when we divide number A by number B and the **remainder is zero**. In this case we say that A is divisible by B.

For example, is 1368 divisible by 6?

To find out we divide 1368 by 6:

When we divide it we see that the remainder is zero, therefore 1368 is divisible by 6.

But isn´t there a faster way to know if 1368 is divisible by 6? The answer is YES.

#### Divisibility guidelines for 6

To know if a number is divisible by 6 it has to meet two conditions:

- It has to be divisible by 2, which is to say that it has to be an even number.
- It has to be divisible by 3, which is to say the sum of its digits has to be 3 or a multiple of 3.

Let’s look at some examples:

##### Is 3654 divisible by 6?

Let’s look at the two criteria:

- Is it divisible by 2?
**Yes**, because it ends in an even number. - Is it divisible by 3?
**Yes**, because 3+6+5+4 = 18, and 18 is a multiple of 3.

Since it meets the two conditions, 3654 **IS** divisible by 6.

##### Is 9016 divisible by 6?

Let’s look at the two criteria:

- Is it divisible by 2?
**Yes**, because it ends in an even number. - Is it divisible by 3?
**No**, because 9+0+1+6= 16, and 16 is not a multiple of 3.

Since there is one requirement that it does not meet, 9016 is **NOT** divisible by 6.

As you can see, it is very easy to determine whether a number is divisible by 6.

Don’t hesitate to share this post with your friends so that they can also learn to determine whether a number is divisible by 6!

To keep learning:

- Divisibility guidelines for
**2, 5 and 10.** - Divisibility guidelines for
**6, 8 and 12.** - Divisibility guidelines for
**7 and 13.** - Divisibility guidelines for
**3, 4, 9 and 11.**

### Learn More:

- Divisibility Guidelines for 9 and Some Examples
- Divisibility Guidelines for 7 and Some Examples
- Divisibility Guidelines for 5 and Some Examples
- Follow the Divisibility Guidelines for 3
- Learn the Criteria for the Divisibility of 5

### Smartick

A multidisciplinary and multicultural team made up of mathematicians, teachers, professors and other education professionals!

They strive to create the best math content possible.

#### Latest posts by Smartick (see all)

- Working with Venn Diagrams in Smartick - 02/17/2020
- The Five Stages of Deliberate Practice - 02/10/2020
- Basic Coding Concepts: Instructions and Control Structures - 02/06/2020