Today we will learn how to check divisibility of a number with shortcut method.
1. Divisibility by 2 : A number is divisible by 2 when the digits at ones place is 0,2,4,6,8.
e.g :- 3582,24...
2. Divisibility by 3 : A number is divisible by 3 only when the sum of its digits is divisible by 3.
e.g :- 453 = 4+5+3= 12, 12 is divisible by 3
3. Divisibility by 4 : A number is divisible by 4, if the number formed with its last two digits is divisible by 4. e.g 784936 is divisible by 4, since 36 is divisible by 4.
4. Divisibility by 5 : A number is divisible by 5 when the digits at ones place is 0 or 5. e.g 34970
5. Divisibility by 6 : A number is divisible by 6 , if it is divisible both by 2 and 3.
e.g :- 3672 is divisible by 6 as it is divisible by both 2 & 3.
6. Divisibility by 7 : A number is divisible by 7 when the difference between twice the digit at once place and the number formed by the remaining digits is either 0 or a number divisible by 7.
e.g :- 658 is divisible by 7 as 65-(2*8)=65-16=49 is divisible by 7.
7. Divisibility by 8 : A number is divisible by 8 only when the number formed by its last 3 digits is divisible by 8. e.g 48120
8. Divisibility by 9 : A number is divisible by 9 if the sum of its digits is divisible by 9.
9. Divisibility by 10 : A number is divisible by 10 when the digit at once place is 0.e.g :-4510
10. Divisibility by 11 : A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even place is either 0 or a number divisible by 11.
e.g :- 30426 is divisible by 11, since(3+4+6)-(0+2)=13-2=11 is divisible by 11.
1. Divisibility by 2 : A number is divisible by 2 when the digits at ones place is 0,2,4,6,8.
e.g :- 3582,24...
2. Divisibility by 3 : A number is divisible by 3 only when the sum of its digits is divisible by 3.
e.g :- 453 = 4+5+3= 12, 12 is divisible by 3
3. Divisibility by 4 : A number is divisible by 4, if the number formed with its last two digits is divisible by 4. e.g 784936 is divisible by 4, since 36 is divisible by 4.
4. Divisibility by 5 : A number is divisible by 5 when the digits at ones place is 0 or 5. e.g 34970
5. Divisibility by 6 : A number is divisible by 6 , if it is divisible both by 2 and 3.
e.g :- 3672 is divisible by 6 as it is divisible by both 2 & 3.
6. Divisibility by 7 : A number is divisible by 7 when the difference between twice the digit at once place and the number formed by the remaining digits is either 0 or a number divisible by 7.
e.g :- 658 is divisible by 7 as 65-(2*8)=65-16=49 is divisible by 7.
7. Divisibility by 8 : A number is divisible by 8 only when the number formed by its last 3 digits is divisible by 8. e.g 48120
8. Divisibility by 9 : A number is divisible by 9 if the sum of its digits is divisible by 9.
9. Divisibility by 10 : A number is divisible by 10 when the digit at once place is 0.e.g :-4510
10. Divisibility by 11 : A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even place is either 0 or a number divisible by 11.
e.g :- 30426 is divisible by 11, since(3+4+6)-(0+2)=13-2=11 is divisible by 11.
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