Divisible by 2, 4, 8

**A number would be divisible by 2 if the last is divisible by 2.**

**For Example -**12, Here the last digit is 2, and 2 is divisible by 2 so 12 is divisible by 2.

273, Here the last digit is 3 so it is NOT divisible by 2.

**A number would be divisible by 4 if the last 2 digits are divisible by 4.**

**For Example -**312, Here the last two digits are 12, and 12 is divisible by 4 so 312 is divisible by 4.

3457, Here the last two digits are 57, and 57 is NOT divisible by 4.

**A number would be divisible by 8 if the last 3 digits are divisible by 4.**

**For Example -**114, Here the last 3 digits are 114 itself and it is divisible by 8.

Note:

**2^(k) = N, A number would be divisible by N if the last k digit of that number is divisible by N.**

Similarly,

2^(1) = 2, A number is divisible by 2 if the last 1 digit of that number is divisible by 2.

2^(2) = 4, A number is divisible by 4 if the last 2 digit of that number is divisible by 4.

2^(3) = 8, A number is divisible by 8 if the last 3 digit of that number is divisible by 8.

### Divisible by 3, 5, 6

**A number would be divisible by 3 if the sum of digits of that number is divisible by 3.**

**For Example -**567, Sum of digits of 567 is 18 and it is divisible by 3, so 567 is divisible by 3.

3402, Sum of digits of 3402 is 9 and it is divisible by 3, so 3402 is divisible by 3.

**A number would be divisible by 5 if the last digit of it is 0 or 5.**

**For Example -**3445, is divisible by 5.

45670, is divisible by 5.

5003, is NOT divisible by 5.

**A number would be divisible by 6 if it is divisible by 2 and 3 both (We already know to check the divisibility by 2 and 3).**

**For Example -**156 is divisible by 2 and 3 both (Divisible by 6).

258 is divisible by 2 and 3 both (Divisible by 6).

### Divisible by 11

**Take the alternating sum of digits reading from left to right and find their difference. If the difference is divisible then the number is also divisible by 11.**

**For Example - 10824**

Sum of digit at odd places = 1 + 8 + 4 = 13

Sum of digit at even places = 0 + 2 = 2

Difference = 13 - 2 = 11 and it is divisible by 11 (10824 is Divisible by 11).

Written with ðŸ’— by Manish

Written with ðŸ’— by Manish

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