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Rule of Divisibility by 2,3 and 4 Hindi/English

It is very important to understand Rule of Divisibility because it is a way that a student can do faster calculations in their exam. 
Divisibility rule are the shortcut way to determine that if a number is divisible by another number or not. It can enhance our calculation speed and accuracy and we can find the answer with in a second.

Rule of Divisibility by 2:

If the unit digit of a number is any 0,2,4,6 and 8 then that number will be completely divisible by 2. 

Let's take a numbers: 
  • 98973232
  • 8878438
  • 893830
  • 78733456
  • 8768762494
Above, all the number are completely divisible by 2. 

Let's take a number: 98973232 ÷ 2 = 49486616.

Now, let's take a number where one's place have different number which is not divisible by 2. 

For Example: 897987 ÷ 2 = 448993.5.

Rule of Divisibility by 3:

If the sum of all the digits of the given number is completely divisible by 3 then that number will be completely divisible by 3. 

For example: 75684.

7+5+6+8+4 = 30
and 30 ÷ 3 = 10.

Therefore, 75684 is divisible by 3, i.e., 75684 ÷ 3 = 25218. 


Let's take another example, 9634222.

The sum of above number is 28 and it not divisible by 3.

Rule of Divisibility by 4:

A given number is divisible by 4 only if the number made by its tens and unit digits is completely divisible by 4.

For example: 978132

In the above example 32 is divisible by 4 that means 979132 is divisible by 4.

979132 ÷ 4 = 244783.

Let's take another example: 87849931
In the above example tens and ones place are 31, so 31 is not divisible by 4.

Therefore, it is not divide by 4.


Rule of Divisibility by 2,3 and 4 in Hindi

This translation has been done using Google Translate


विभाज्यता के नियम को समझना बहुत ज़रूरी है क्योंकि यह एक ऐसा तरीका है जिससे छात्र अपनी परीक्षा में तेज़ी से गणना कर सकते हैं।

विभाज्यता नियम यह निर्धारित करने का शॉर्टकट तरीका है कि कोई संख्या किसी दूसरी संख्या से विभाज्य है या नहीं। यह हमारी गणना की गति और सटीकता को बढ़ा सकता है और हम एक सेकंड में उत्तर पा सकते हैं।

2 से विभाज्यता का नियम:

यदि किसी संख्या का इकाई अंक 0,2,4,6 और 8 है तो वह संख्या 2 से पूर्णतः विभाज्य होगी।

आइए एक संख्या लें:
  • 98973232
  • 8878438
  • 893830
  • 78733456
  • 8768762494
ऊपर, सभी संख्याएँ 2 से पूरी तरह से विभाज्य हैं।

चलिए एक संख्या लेते हैं: 98973232 ÷ 2 = 49486616.

अब, आइए एक संख्या लेते हैं जहाँ इकाई के स्थान पर अलग-अलग संख्याएँ हैं जो 2 से विभाज्य नहीं हैं।

उदाहरण के लिए: 897987 ÷ 2 = 448993.5.

3 से विभाज्यता का नियम:

यदि दी गई संख्या के सभी अंकों का योग 3 से पूर्णतः विभाज्य है तो वह संख्या 3 से पूर्णतः विभाज्य होगी।

उदाहरण के लिए: 75684.

7+5+6+8+4 = 30
और 30 ÷ 3 = 10.

इसलिए, 75684 3 से विभाज्य है, अर्थात, 75684 ÷ 3 = 25218.

चलिए एक और उदाहरण लेते हैं, 9634222.

उपरोक्त संख्या का योग 28 है और यह 3 से विभाज्य नहीं है।

4 से विभाज्यता का नियम:

एक दी गई संख्या 4 से तभी विभाज्य होगी जब उसके दहाई और इकाई अंकों से बनी संख्या 4 से पूर्णतः विभाज्य हो।

उदाहरण के लिए: 978132

उपरोक्त उदाहरण में 32 है 4 से विभाज्य अर्थात 979132 4 से विभाज्य है।

979132 ÷ 4 = 244783.

चलिए एक और उदाहरण लेते हैं: 87849931
उपर्युक्त उदाहरण में दहाई और इकाई का स्थान 31 है, इसलिए 31 4 से विभाज्य नहीं है।

इसलिए, यह 4 से विभाजित नहीं है।

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