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Divisibility rule of 7

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Divisibility rule of 7
  • 1 answers

Yogita Ingle 7 years, 7 months ago

There are 2 methods to check weather a given number is divisible by 7.
1) This method is good for 3 or 4 digit number:
Method: 1) Double the last digit
2) Subtract (Minus) it from the remaining digits
3) The answer should be divisible by 7 .
Example: Is 434 divisible by 7?
The last digit is 4 so double it (4×2=8). Now subtract 8 from remaining number 43,  43-8=35 and 35 is divisible by 7 (7×5=35). So 434 is also divisible by 7.
2) This method is good for more than 5 digit number( This is the rule for 7) :
Method:  1) Take beginning of the number from right and multiply it by 1, 3, 2, 6, 4, 5 sequence. Remember this sequence otherwise your answer will be wrong . If you still don’t understand, then check the example.
2)  For 7 or more digits number, repeat this sequence.
3) Add up all. If the sum(total) is divisible by 7 than that big fat number is divisible by 7 as well.
Example: Is 373212 divisible by 7?
2(1)+7(3)+3(2)+2(6)+1(4)+2(5) = 2+21+6+12+4+10 = 56 and 56 is  divisible by 7 so this number 373212 is divisible by 7 as well.

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