Divisibility Test | Learn rules in easy way | Makes calculation Faster | 7 , 8 and 9| Very Interesting Concept
One must watch this lecture. This method explained in the video is very helpful for making maths calculation easy specially in competitive exams.
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Divisibility rules or Divisibility tests have been mentioned to make the division procedure easier and quicker. If students learn the division rules in Maths or the divisibility tests for 1 to 20, they can solve the problems in a better way. For example, divisibility rules for 13 help us to know which numbers are completely divided by 13. Some numbers like 2, 3, 4, 5 have rules which can be understood easily. But rules for 7, 11, 13, are a little complex and need to be understood in-depth.
Mathematics is not easy for some of us. At times, the need for tricks and shorthand techniques is felt, to solve Maths problems faster and easily without lengthy calculation. It will also help students to score better marks in exams. These rules are a great example of such shorthand techniques. In this article, let us discuss the division rules in Maths with many examples.
Divisibility Test (Division Rules in Maths)
As the name suggests, divisibility tests or division rules in Maths help one to check whether a number is divisible by another number without the actual method of division. If a number is completely divisible by another number then the quotient will be a whole number and the remainder will be zero.
Since every number is not completely divisible by every other number such numbers leave remainder other than zero. These rules are certain ones, which help us to determine the actual divisor of a number just by considering the digits of the number.
The division rules from 1 to 13 in Maths are explained here in detail with many solved examples. Go through the below article to learn the shortcut methods to divide the numbers easily.
Divisibility Rules for 7
The rule for divisibility by 7 is a bit complicated which can be understood by the steps given below:
From the rule stated remove 3 from the number and double it, which becomes 6.
Remaining number becomes 107, so 107-6 = 101.
Repeating the process one more time, we have 1 x 2 = 2.
Remaining number 10 - 2 = 8.
As 8 is not divisible by 7, hence the number 1073 is not divisible by 7.
Divisibility Rule of 8
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.
Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.
Divisibility Rule of 9
The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.
Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.
What is the divisibility rule for 7 and give an example?
The difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be zero. For example, 147 is divisible by 7. Here, the unit digit is 7. When it is multiplied by 2, we get 14, and the remaining part is 14. Therefore, the difference between 14 and 14 is 0.
Write down the divisibility rule for 9.
The sum of the digits of the given number should be divisible by 9. For example, 2979 is divisible by 9. (i.e.,) 2+9+7+9 = 27, which is divisible by 9
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