Divisiblity by 2:
A number is divisible by 2, if the unit's digit is any of 0, 2, 4, 6, 8.
Example:
84568 is divisible by 2, while 56985 is not.
Divisiblity by 3:
A number is divisible by 3, if the sum of its digits is divisible by 3.
Example:
2352 is divisible by 3, since (2+3+5+2)=12.Here 12 is divisible by 3.
5659 is not divisible by 3, since (5+6+5+9)=25.Here 25 is not divisible by 3.
Divisiblity by 4:
A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
Example:
23549712 is divisible by 4, since the last two digits (12) is divisible by 4.
23549717 is not divisible by 4, since the last two digits(17) is not divisible by 4.
Divisiblity by 5:
A number is divisible by 5, if its unit's digit is either 0 or 5.
Example:
56895 and 56890 is divisible by 5.
4562 and 56894 is not divisible by 5.
Divisiblity by 6:
A number is divisible by 6, if it is divisible by both 2 and 3.
Example:
35256 is divisible by 6. since the number is clearlly divisible by 2 and also 3.
35223 is not divisible by 6.since the number is not divisible by 2,even though it is divisible by 3.
Divisiblity by 8:
A given number is divisible by 8, if the number is formed by the last three digits of the given number is
divisible by 8.
Example:
953360 is divisible by 8, since the number formed by last three digits is 360, which is divisible by 8.
529418 is not divisible by 8, since the number formed by last three digits is 418, which is not divisible by 8.
Divisiblity by 9:
A given number is divisible by 9, if the sum of its digits is divisible by 9.
Example:
60732 is divisible by 9, since sum of its digits=(6+0+7+3+2)=18, which is divisible by 9.
68956 is not divisible by 9, since sum of digits=(6+8+9+5+6)=34,which is not divisible by 9.
Divisiblity by 10:
A number is divisible by 10, if ends with 0.
Example:
65940,458620 is divisible by 10, while 56423 is not.
Divisiblity by 11:
A number is divisible by 11, if the difference of the sum of its digits at odd places and sum of its digits at even places, is either 0 or a number divisible by 11.
Example:
The number 4832718 is divisible by 11, since :
(sum of digits at odd places) - (sum of digits at even places)
=(8+7+3+4) - (1+2+8)=11, which is divisible by 11
FOR NUMBER GREATER THAN 11
If a number is divisible by p as well as q, where p and q are co-primes, then the given number is divisible by pq.
If p and q are not co-primes, then the given number is need not be divisible by pq, even when it is divisible by both p and q.
A number is divisible by 2, if the unit's digit is any of 0, 2, 4, 6, 8.
Example:
84568 is divisible by 2, while 56985 is not.
Divisiblity by 3:
A number is divisible by 3, if the sum of its digits is divisible by 3.
Example:
2352 is divisible by 3, since (2+3+5+2)=12.Here 12 is divisible by 3.
5659 is not divisible by 3, since (5+6+5+9)=25.Here 25 is not divisible by 3.
Divisiblity by 4:
A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
Example:
23549712 is divisible by 4, since the last two digits (12) is divisible by 4.
23549717 is not divisible by 4, since the last two digits(17) is not divisible by 4.
Divisiblity by 5:
A number is divisible by 5, if its unit's digit is either 0 or 5.
Example:
56895 and 56890 is divisible by 5.
4562 and 56894 is not divisible by 5.
Divisiblity by 6:
A number is divisible by 6, if it is divisible by both 2 and 3.
Example:
35256 is divisible by 6. since the number is clearlly divisible by 2 and also 3.
35223 is not divisible by 6.since the number is not divisible by 2,even though it is divisible by 3.
Divisiblity by 8:
A given number is divisible by 8, if the number is formed by the last three digits of the given number is
divisible by 8.
Example:
953360 is divisible by 8, since the number formed by last three digits is 360, which is divisible by 8.
529418 is not divisible by 8, since the number formed by last three digits is 418, which is not divisible by 8.
Divisiblity by 9:
A given number is divisible by 9, if the sum of its digits is divisible by 9.
Example:
60732 is divisible by 9, since sum of its digits=(6+0+7+3+2)=18, which is divisible by 9.
68956 is not divisible by 9, since sum of digits=(6+8+9+5+6)=34,which is not divisible by 9.
Divisiblity by 10:
A number is divisible by 10, if ends with 0.
Example:
65940,458620 is divisible by 10, while 56423 is not.
Divisiblity by 11:
A number is divisible by 11, if the difference of the sum of its digits at odd places and sum of its digits at even places, is either 0 or a number divisible by 11.
Example:
The number 4832718 is divisible by 11, since :
(sum of digits at odd places) - (sum of digits at even places)
=(8+7+3+4) - (1+2+8)=11, which is divisible by 11
FOR NUMBER GREATER THAN 11
If a number is divisible by p as well as q, where p and q are co-primes, then the given number is divisible by pq.
If p and q are not co-primes, then the given number is need not be divisible by pq, even when it is divisible by both p and q.
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