Mathematics is not an easy subject until you understand the concept and compare it with the examples. Students who want to know about the divisibility rules of 7 can use this page. We help you to understand the concept of divisibility without the division method. The divisibility rule to divisibility test helps the students of 5th Grade math to check if a number is completely divisible by another number without actual division. In this article, we focus on divisible by 7 with clear-cut explanations.
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Divisibility Rule of 7
The concept of divisibility is nothing but checking if a number is divisible by another number without actually dividing the number. The divisibility rule of 7 checks if a number can be completely divided by 7 without any remainder.
Usually, we perform the division arithmetic operation to know this. But divisibility rule of 7 has a shortcut method to find if a number is divisible by 7.
Divisibility Test by 7 Examples
Have a look at the below examples to know in detail about divisibility by 7 without applying the division method. Let us check if the number is divisible by 7 or not.
Example 1.
Find whether the number 182 is divisible by 7.
Solution:
For divisible by 7 we need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be divisible by 7.
Here in 182
2 + 2 = 4
18 – 4 = 14
Where 14 is divisible by 7
Therefore the number 182 is also divisible by 7.
Example 2.
Find whether the number 252 is divisible by 7.
Solution:
For divisible by 7 we need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be divisible by 7.
Here in 252
2 + 2 = 4
25 – 4 = 21
Where 21 is divisible by 7
Therefore the number 252 is also divisible by 7.
Example 3.
Find whether the number 595 is divisible by 7
Solution:
For divisible by 7 we need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be divisible by 7.
Here in 595
5 + 5 = 10
59 – 10 = 49
Where 49 is divisible by 7
Therefore the number 595 is also divisible by 7.
Example 4.
Find whether the number 343 is divisible by 7.
Solution:
For divisible by 7 we need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be divisible by 7.
Here in 343
3 + 3 = 6
34 – 6 = 28
Where 28 is divisible by 7
Therefore the number 343 is divisible by 7.
Example 5.
Find whether the number 672 is divisible by 7.
Solution:
For divisible by 7 we need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be divisible by 7.
Here in 672
2 + 2 = 4
67 – 4 = 63
Where 63 is divisible by 7
Therefore the number 672 is divisible by 7.
See More Divisibility Rules
| Divisible by 2 | Divisible by 3 | Divisible by 4 |
| Divisible by 5 | Divisible by 6 | Divisible by 8 |
| Divisible by 9 | Divisible by 10 |