Tests of Divisibility- Simple tricks
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 unitâs 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 unitâs digit of a number is either â0â or â5â 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 Unitâs 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 ) â (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 mathâs homework problems easily.
| Title | Tests of Divisibility- Simple tricks |
|---|---|
| Canonical name | TestsOfDivisibilitySimpleTricks |
| Date of creation | 2014-08-07 17:35:51 |
| Last modified on | 2014-08-07 17:35:51 |
| Owner | burgess (1001318) |
| Last modified by | burgess (1001318) |
| Numerical id | 1 |
| Author | burgess (1001318) |
| Entry type | Topic |