Smartick is a fun way to learn math!

Jan09

# Divisibility Guidelines for 6 and Some Examples

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!

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Diane Ackerman
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