Divisibility Rule of 7:
To check for the divisibility of 7, take the last digit of the number, double it and subtract the doubled number from the remaining number. If the result is divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is divisible by 7.
Illustration: Check whether 3101 is divisible by 7?
Solution: Step 1: take off the last digit of the number which is 1
Step 2: Double the last digit. So, it becomes 2.
Step 3: Subtract 2 from the remaining number i.e. 310. So, we obtain 310 - 2 = 308.
Step 4: Repeat the process by taking off the 8 from 308.
Step 5: Double it and subtract from the remaining number. So, 30 - 16 = 14
Step 6: The result is 14 which is a multiple of 7.
Hence, 3101 is divisible by 7.
Which of the following number is divisible by 7 ? 861, 645 | |||
Right Option : A | |||
View Explanation |
Which of the following numbers are divisible by 7 : 343, 133, 329, 278 | |||
Right Option : D | |||
View Explanation |
Which of the following number is divisible by 7 ? 483 , 392 | |||
Right Option : C | |||
View Explanation |
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