Finding a number can be divided by seven : divisibility rule of 7

The divisibility rule for number 7 helps in finding whether a number is exactly divisible by 7.
The rules are illustrated with clear examples for easier understanding.

Divisbility Rule of 7 :
The last digit is multiplied by 2 and subtracted from the rest of the number. The result is either 0 or divisible by 7.

Example :
i) 2205
ii) 9751

Explanation :
i) 2205
Last digit multiply by 2, 5 * 2 = 10
Subtracted rest of digits, 220 - 10 = 210
Divisible by 7, 210 / 7 = 30

ii) 9751
Last digit multiply by 2, 1 * 2 = 2
Subtracted rest of digits, 975 - 2 = 973
Last digit multiply by 2, 3 * 2 = 6
Subtracted rest of digits, 97 - 6 = 91
Last digit multiply by 2, 1 * 2 = 2
Subtracted rest of digits, 9 - 2 = 7
Divisible by 7, 7 / 7 = 1

Both the numbers can be divided by 7.

Finding a number can be divided by seven is made easier with the divisibility rule of 7.

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