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Divisibility Test
In competitive exams some time this type of questions come - if 61208 is divisible by 7 or is 113672 is divisible by 13.
Vedic maths divisibility test is an easy way know the divibility.
Given below are the divisibility test numbers in table form.
| Divisible by | Condition |
|---|---|
| 2 | Numbers ending with 0, 2,4,6,8 |
| 3 | Add up the digits. If the sum is divisible by 3 then number is divisible by 3 |
| 4 | If the number formed by the 2 digits is divisible by 4, then the whole number is diivisible by 4 |
| 5 | If the last digt is either 5 or 0. |
| 6 | Check the divisibility test of 2 and 3. If divisible by 2 and 3 then it is divisible by 6. |
| 7 | Double the last digit and subtract it from the remaining number. If what is left is divisible by 7, then the original number is also divisible. |
| 8 | If the last three digits are divisible by 8, then the whole number is divisible by 8 |
| 9 | Add the digits if the sum is divisible by 9 then the whole number is divisible by 9. (this holds true for any poer of three. |
| 10 | If the number ends in zero |
| 11 | If the difference between
|
| 12 | Check the divisibility by 3 and 4 |
| 13 | Delete the last digit from the given number, Then subtract 9 times the deleted digit from the remaining number. If what is left is divisible by 13, then so is the original number. |
In the same way we can continue the table.. for divisibility by 14, check fo divisibility by 2 and 7. For divisibility by 15, check for divisibility by 3 and 5 and so on.
Examples:
Is 25467895 is divisible by 5
Answer is yes because it has 5 last digit.
Example:
Is 2665 is divisible by 13?
Delete Last digits 5, sbtract 9X5=45 from 266 balance is 221. it is divisible by 13 so that whole number is divisible by 13.
Example:
If the number 4107501 is divisible by 9.
Answer. Add numbers 4+1+0+7+5+0+1=18, it is divisible by 9. So the number is divisible by 9.
Example:
If the number 12690864 is divisible by 8?
Answer: if last three numbers are divisible by 8 then whole number is divisible by 8. 864 is divisible by 8. Answer is yes.
About the Author
"Vandana Sachar, M.A. Eco, teaching Vedic Maths for the last 15 years"
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