# Divisibility Rule by 3

If the **sum of all digits **of a given umber
is **multiple of 3 **or **is exactly divisible by 3 **then we can say
that the given number is divisible by 3.

Lets take an example to understand this point
more clearly.

**Example** - Is **543** divisible by 3?

**Solution - **

Let's sum the all digits i.e. **5 + 4 + 3 = 12.**

Now we all know that **12** is divisible by 3 right?
Hence **543 is divisible 3.**

** **

**Example** - Is **2861** divisible by 3?

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

Now we all know that 17 is not divisible by 3
right? Hence **2861 is not divisible 3.**

** **

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

**Example** - Is **845217** divisible by 3?

Let's sum the all digits i.e. **8 + 4 + 5 + 2 +
1 + 7 = 27
= 2 + 7 = 9**

Now we all know that 9 is divisible by 3 right?
Hence **845217 is divisible 3.**

**So**

**to add further is more easier**to know whether the number is divisible by 3 or not.

** **

**Do it by your self**

**Which of the following numbers are divisible by 3?**

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

** **

**Solution **

**78451 -**7 + 8 + 4 + 5 + 1 = **25** = 2 + 5 = **7** hence not divisible by 3

**65844 - **6 + 5 + 8 + 4 + 4 **= ****27****
= **2 + 7 **= 9 **hence divisible by 3

**5694 - **5 + 6 + 9 + 4 = **24** **= **2 + 4
**= 6 **hence divisible by 3

**698754 - **6 + 9 + 8 + 7 + 5 + 4 **= 39 = **3 + 9 **= 12
**hence divisible by 3

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

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