**Divisibility Rule by 9**

If the **sum of all digits **of a given umber
is **multiple of 9 **or **is exactly divisible by 9 **then we can say
that the given number is divisible by 9.

Let’s take an example to understand this point
more clearly.

**Example** - Is **1836** divisible by 9?

**Solution - **

Let's sum the all digits i.e. **1 + 8 + 3 + 6 =
18.**

Now we all know that 18 is divisible by 9 right?
Hence **1836 is divisible 9.**

** **

**Example** - Is **2861** divisible by 9?

Let's sum the all digits i.e. **2 + 8 + 6 + 1 =
17.**

Now we all know that 17 is not divisible by 9
right? Hence **2861 is not divisible 9.**

**Point to be noted: **It can be further added too.

**Example** - Is **5426739** divisible by 3?

Let's sum the all digits i.e. **5 + 4 + 2 + 6 +
7 + 3 + 9 = 36 = 3 + 6 = 9**

Now we all know that 9 is divisible by 9 right?
Hence **5426739 is divisible 9.**

So** to add further is easier **to know whether
the number is divisible by 9 or not.

** **

**Do it by your self**

**Which of the following numbers are divisible by 9?**

**78451, 65844, 5694, 698754, 95356**

** **

**Solution:**

**81624 -**8 + 1 + 6 + 2 + 4 = **21** = 2 + 1 = **3** hence not divisible by 9

**72963 - **7 + 2 + 9 + 6 + 3 **= 27 = **2 + 7 **= 9 **hence divisible by 9

**92376 - **9 + 2 + 3 + 7 + 6 = **27** **= **2 + 7 **= 9 **hence divisible by
9

**698765 - **6 + 9 + 8 + 7 + 6 + 5 **= 41 = **4 + 1 **= 5 **hence not divisible by
9

**95356 - **9 + 5 + 3 + 5 + 6 **= 28 = **2 + 8 **= 10 **hence not divisible by 9

Related Article

## No comments:

## Post a Comment

Please do not enter any spam link in the comment box.