Question

Divisibility Rules Of 1,2,3,4,5,6,7,8,9,10 and 11​

Answer 1

Answer:

1. it is divisible by all
2. if last digit is a even number
3. if sum of the digits of the number is divisible by 3 then number is divisible by 3
4. if last two digits is divisible by 4
5. if last digit is 5 or 10
6. if it is divisible by both 2 and 3
7. multiply the last digit or ones place digit by 2 then subtract from then keep it subtracting till you get a multiple of 7 eg -7777 last digit 7 multiply it by 2 which is 14 subtract form the rest number 777-14 =763 then multiply 3 x2 - 6 now 76-6 =70which is a multiple of 7
8. if last three digit s are divisible by 8
9. if the sum of all digit is divisible by 9
10. if the ones digit is 0

11. subtract the odd places- even places if the result is 0 or multiple of 11 then it is divisible by 11 eg 110 odd places - count from right place WHICH IN THIS QUESTION IS odd no - 1 and 0 even places - 1 subtract both which is 1-1 =0 so it is divisible by 11

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Answer 2

Divisibility rule for 1

• Every number is divisible by 1

eg., 0 , 1 , 9 , 11 , 100 , 205 , 1048 ,etc are divisible by 1.

Divisibility rule for 2

• Every number having a zero or an even number at its unit place is divisible by 2

eg., 0, 2, 30, 100, 504, 3058 , etc. are divisible by 2.

Divisibility rule for 3

• A number will be divisible by 3 if the sum of its digits can be divided by 3

eg., 54891 is divisible by 3 as 5 + 4 + 8 + 9 + 1 = 27 and 27 is divisible by 3

Divisibility rule for 4

• A number will be divisible by 4 if the number formed by its tens and unit place digits is divisible by 4

eg., 99764 is divisible by 4 because 64 is divisible by 4.

Divisibility rule for 5

• Every number having zero or 5 at its unit place is divisible by 5

eg., 100, 54675, 875 , 970 , etc are divisible by 5.

Divisibility rule for 6

• A number will be divisible by 6 is the number is divisible by both 2 and 3

eg., 79536 is divisible by 2 and 3 as well . therefore, it will be divisible by 6 also.

Divisibility rule for 7

• A number will be divisible by 7 if on subtracting the twice of the digit at unit place from the remaining number will be divisible by 7

eg., Let us take number 476 , doubling the unit place number we will get (6*2) = 12 ; Now subtracting 12 from 47 , 47-12 = 35 ; since 35 is divisible by 7 therefore, 476 will be divisible by 7.

Divisibility rule for 8

• A number will be divisible by 8 if the number formed by last three digits of the given number is divisible by 8.

eg., In 467872 ; number formed by last three digits is 872 and it is divisible by 8 therefore, 467872 is divisible by 8.

Divisibility rule for 9

• A number will be divisible by 9 is the sum of its digits is divisible by 9.

eg., In 546831 , 5 + 4 + 6 + 8 + 3 + 1 = 27 which is divisible by 9. therefore, 546831 will be divisible by 9.

Divisibility rule for 10

• A number will be divisible by 10 if it has a zero at its unit place.

eg., 100, 456320 , 898970 , etc.

Divisibility rule for 11

• A number will be divisible by 11 if the difference between the sum of the numbers at even positions and sum of the numbers at odd positions is divisible by 11

eg., In number 83345273 ; sum of number at even positions = 3 + 4 + 2 + 3 = 12 ; and sum of numbers at odd positions = 8 + 3 + 5 + 7 = 23 ; Now, difference between these = 23 - 12 = 11 , that is divisible by 11. therefore, Number 83345273 is divisible by 11.