With this simple short cuts you can find out a number is divisible by a given number

Divisible by 2: A number is divisible by 2, if its unit’s digit is any of 0, 2, 4, 6, 8.

Example: 6798512

Divisible by 3: A number is divisible by 3, if sum of its digits divisible by 3.

Example : 123456

1+2+3+4+5+6 = 21

21 is divisible by 3 so 123456 is also divisible by 3

Divisible by 4: if the last two digits of a given are divisible 4, so the number can be divisible by 4.

Example : 749232

Last two digits are 32 which are divisible by 4 so the given number is also divisible by 4

Divisible by 5: If unit’s digit of a number is either ‘0’ or ‘5’ it is divisible 5.

Example : 749230

Divisible by 6: If a given number is divisible by 2 and 3 (which are factors of 6), then the number is divisible by 6.

Example : 35256

Unit’s digit is 6 so divisible by 2

3+5+2+5+6 = 21 so divisible by 3

So 35256 divisible by 6

Divisible by 8: if last 3 digits of a given number is divisible 8, then the given number is divisible 8.

Example: 953360

360 is divisible by 8, so 953360 is divisible by 8

Divisible by 9: A number is divisible by 9, if sum of its digits divisible by 9.

Example : 50832

5+0+8+3+2 = 18 divisible by 9 so 50832 divisible by 9

Divisible by 10: A number is divisible 10, if it ends with 0.

Example : 508320

Divisible by 11: A number is divisible by 11,if the difference of 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 : 4832718

(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.

So 4832718 is divisible by 11.

I hope this simple tricks, will be very helpful to solve math’s homework problems easily.