Math: Divisibility Rule of 7 | Divisibility Test

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Divisibility Rule of 7

Division is one the four fundamental operations of mathematics. The four fundamental operations of mathematics are addition(+), subtraction(-), multiplication(×) and division(÷). In our daily life, we come across many big numbers and small numbers. It is very easy to divide small numbers but whats about big numbers. 

In this article, we will learn the short and easy tricks (Divisibility Rule and Divisibility Test) to know whether the number is completely divisible by another number or not without using actual long division method. 


Topic of Divisibility Rule

  1. What is Divisibility Rule? 
  2. What is Divisibility Test? 
  3. What is Divisibility Rule of 2 ? 
  4. What is Divisibility Rule of 3 ? 
  5. What is divisibility Rule of 4 ? 
  6. What is divisibility Rule of 5 ? 
  7. What is divisibility Rule of 6 ? 
  8. What is divisibility Rule of 7 ? 
  9. What is divisibility Rule of 8 ? 
  10. What is divisibility Rule of 9 ? 
  11. What is divisibility Rule of 10? 
  12. What is divisibility Rule of 11? 
  13. How many divisibility Rules are there? 

What is Divisibility Rule? 

Divisibility Rule are those rules which help us to identify whether the given numbers is completely divisible by another number or not without using any actual long division method. 


What is Divisibility test? 

Divisibility Tests are short tricky mental calculation based on the digits of number to find out that a particular numbers is dividing another number completely or not. 

What is Divisibility Rule of 2 ? 

  • Divisibility Rule of 2 states, '' If the last digit or the unit place digit of the number is either 0 or even number, then the given number is divisible by 2.''
  • Examples: 786 and 768 
  • Explanation: In the above number(786 and768), the last digit are 6 and 8 which are even numbers. So, the numbers 786 and 768 are divisible by 2.

What is Divisibility Rule of 3 ? 

  • Divisibility Rule of 3 states, '' If the sum digits of the number is divisible by 3 then the number is also divisible by 3''.

What is Divisibility Rule of 4 ? 

  • Divisibility Rule of 4 states, '' If the number formed by the last 2 digits of the number is divisible by 4, then the original number is also divisible by 4''.

What is Divisibility Rule of 5 ? 

  • Divisibility Rule of 5 states, '' If the last digits or unit place digits of the number is either 0 or 5, then the complete number is divisible by 5''.

What is Divisibility Rule of 6 ? 

  • Divisibility Rule of 6 states, '' If the number is divisible by both 2 and 3, then the number is also divisible by 6''.

What is Divisibility Rule of 7 ? 

  • Divisibility Rule of 7 states, '' The number obtained by doubling the last digit and substracting it from the number is divisible by 7, then the original number is also divisible by 7''.

What is Divisibility Rule of 8 ? 

  • Divisibility Rule of 8 states, '' If the number formed by last 3 digits of the number is divisible by 8, then the original number is also divisible by 8''.

What is Divisibility Rule of 9 ? 

  • Divisibility Rule of 9 states, '' If the sum of the digits of the number is divisible by 9 then the original number is divisible by 9''.

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