Dividing by 7 (2 Tests)
- Take the last digit in a number.
- Double and subtract the last digit in your number from the rest of the digits.
- Repeat the process for larger numbers.
- Example: 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
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Another divisibility rule is:
- NEXT TEST
- Take the number and multiply each digit beginning on the right hand side (ones) by 1, 3, 2, 6, 4, 5. Repeat this sequence as necessary
- Add the products.
- If the sum is divisible by 7 - so is your number.
- Example: Is 2016 divisible by 7?
- 6(1) + 1(3) + 0(2) + 2(6) = 21
- 21 is divisible by 7 and we can now say that 2016 is also divisible by 7.
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Test of Divisibility by 7 :-
Step 1 : Double the digits at ones place.
Step 2 : Find the difference between the number obtained in step 1 and the number formed by rest of its digits.
Step 3 : If the number so obtained is divisible by 7, then the given number is divisible by 7.
Example : (a) Consider the number 6895.
Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.
Therefore, 727 is not divisible by 7.
Step 1 : Double the digits at ones place.
Step 2 : Find the difference between the number obtained in step 1 and the number formed by rest of its digits.
Step 3 : If the number so obtained is divisible by 7, then the given number is divisible by 7.
Example : (a) Consider the number 6895.
Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.
Therefore, 727 is not divisible by 7.
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Test?of?Divisibility?by?7?:-
Step 1 :?Double the digits at ones place.
Step 2 :?Find the difference between the number obtained in?step 1?and the number formed by rest of its digits.
Step 3 :?If the number so obtained is divisible by 7, then the given number is divisible by 7.
Example :?(a) Consider the number 6895.
? ? ? ? ? ? ? ? ? ? ? ?Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.
? ? ? ? ? ? ? ? ? ? ? ?Therefore, 727 is not divisible by 7.
Regards.
Step 1 :?Double the digits at ones place.
Step 2 :?Find the difference between the number obtained in?step 1?and the number formed by rest of its digits.
Step 3 :?If the number so obtained is divisible by 7, then the given number is divisible by 7.
Example :?(a) Consider the number 6895.
? ? ? ? ? ? ? ? ? ? ? ?Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.
? ? ? ? ? ? ? ? ? ? ? ?Therefore, 727 is not divisible by 7.
Regards.
- 1
Dividing by 7 (2 Tests)
Take the last digit in a number.
Double and subtract the last digit in your number from the rest of the digits.
Repeat the process for larger numbers.
Example: 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
Take the last digit in a number.
Double and subtract the last digit in your number from the rest of the digits.
Repeat the process for larger numbers.
Example: 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
- 1
Test?of?Divisibility?by?7?:-?
Step 1 :?Double the digits at ones place.?
Step 2 :?Find the difference between the number obtained in?step 1?and the number formed by rest of its digits.?
Step 3 :?If the number so obtained is divisible by 7, then the given number is divisible by 7.?
Example :?(a) Consider the number 6895.?
? ? ? ? ? ? ? ? ? ? ? ?Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.?
? ? ? ? ? ? ? ? ? ? ? ?Therefore, 727 is not divisible by 7.?
Regards.
Step 1 :?Double the digits at ones place.?
Step 2 :?Find the difference between the number obtained in?step 1?and the number formed by rest of its digits.?
Step 3 :?If the number so obtained is divisible by 7, then the given number is divisible by 7.?
Example :?(a) Consider the number 6895.?
? ? ? ? ? ? ? ? ? ? ? ?Now, 689 - ( 2 x 5 ) = ( 689 - 10 ) = 679, which is divisible by 7.?
? ? ? ? ? ? ? ? ? ? ? ?Therefore, 727 is not divisible by 7.?
Regards.
- 0
A number is divisible by 7 if the difference of sums of numbers in alternate blocks of three digits from right to left is divisible by 7.
Example:
Consider the number 47532911272
The sum of the numbers in alternate blocks of three digits from right to left are
272 + 532 = 804 and 911 + 47 = 958
Their difference = 958 - 804 = 154, which is divisible by 7.
Therefore, the given number 47532911272 is divisible by 7.
I hope this answer will help you!!
Example:
Consider the number 47532911272
The sum of the numbers in alternate blocks of three digits from right to left are
272 + 532 = 804 and 911 + 47 = 958
Their difference = 958 - 804 = 154, which is divisible by 7.
Therefore, the given number 47532911272 is divisible by 7.
I hope this answer will help you!!
- 0
To check whether a number is divisible by 7 , we adopt the following procedure :
1.Take the last digit of the number.
2.Double the last digit and subtract from the number consisting of rest of the digits.
3.If difference is divisible by 7 then number is divisible by 7.
4.Repeat the process for larger numbers.
1.Take the last digit of the number.
2.Double the last digit and subtract from the number consisting of rest of the digits.
3.If difference is divisible by 7 then number is divisible by 7.
4.Repeat the process for larger numbers.
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