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:divisibility

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.

divisibility

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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