Divisibility by 2 When the last digit of a number is either 0 or even, then the number is divisible by 2. For example 12, 84, 474, 1000 etc., are divisible by 2.
Divisibility by 3 When the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
For example 12345
1 + 2 + 3 + 4 + 5 = 15
which is divisible by 3, so 12345 must be divisible by 3
Divisibility by 4 When the number made by last two-digits of a number is divisible by 4, then that particular number is divisible by 4.
For example 4528 is divisible by 4 as the number made by its last two digits i.e., 28 is divisible by 4
Also the number having two or more zeroes at the end, is also divisible by 4.
For example The numbers 1400, 136000, 7860000 etc., are divisible by 4 as they have two or more zeroes at the end.
Divisibility by 5 Numbers having 0 or 5 at the end are divisible by 5. For example 35, 1650, 14750 etc., are divisible by 5 as they have 0 or 5 at the end.
Divisibility by 6 When a number is divisible by both 3 and 2, then that particular number is divisible by 6 also. For example 18, 36, 720 etc., are divisible by 6 as they are divisible by both 3 and 2.
Divisibility by 7 A number is divisible by 7 when the difference between twice the digit at ones place and the number formed by other digits is either zero or a multiple of 7.
For example 658 is divisible by 7
because 65 -2 X 8 = 65 -16 = 49. As 49 is divisible by 7, the number 658 is also divisible by 7.
Divisibility by 3 When the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
For example 12345
1 + 2 + 3 + 4 + 5 = 15
which is divisible by 3, so 12345 must be divisible by 3
Divisibility by 4 When the number made by last two-digits of a number is divisible by 4, then that particular number is divisible by 4.
For example 4528 is divisible by 4 as the number made by its last two digits i.e., 28 is divisible by 4
Also the number having two or more zeroes at the end, is also divisible by 4.
For example The numbers 1400, 136000, 7860000 etc., are divisible by 4 as they have two or more zeroes at the end.
Divisibility by 5 Numbers having 0 or 5 at the end are divisible by 5. For example 35, 1650, 14750 etc., are divisible by 5 as they have 0 or 5 at the end.
Divisibility by 6 When a number is divisible by both 3 and 2, then that particular number is divisible by 6 also. For example 18, 36, 720 etc., are divisible by 6 as they are divisible by both 3 and 2.
Divisibility by 7 A number is divisible by 7 when the difference between twice the digit at ones place and the number formed by other digits is either zero or a multiple of 7.
For example 658 is divisible by 7
because 65 -2 X 8 = 65 -16 = 49. As 49 is divisible by 7, the number 658 is also divisible by 7.