Class 6 Exam > Class 6 Videos > Improve Your Calculations: Vedic Maths (English) > Maths- How to test divisibility by 8,11- English
Maths- How to test divisibility by 8,11- English Video Lecture | Improve Your Calculations: Vedic Maths (English) - Class 6
FAQs on Maths- How to test divisibility by 8,11- English Video Lecture - Improve Your Calculations: Vedic Maths (English) - Class 6
| 1. How can I check if a number is divisible by 8? |  |
Ans.To determine if a number is divisible by 8, you only need to look at the last three digits of the number. If those last three digits form a number that is divisible by 8, then the entire number is divisible by 8. For example, to check if 5,432 is divisible by 8, look at 432. Since 432 ÷ 8 = 54, which is a whole number, 5,432 is divisible by 8.
| 2. What is the rule for testing divisibility by 11? | |
Ans.To test if a number is divisible by 11, subtract the sum of the digits in the odd positions from the sum of the digits in the even positions. If the result is 0 or divisible by 11, then the number is divisible by 11. For instance, for the number 2728, the sum of the odd-position digits (2 + 2) is 4, and the sum of the even-position digits (7 + 8) is 15. The difference is 15 - 4 = 11, which is divisible by 11, so 2728 is divisible by 11.
| 3. Can you provide an example of a number that is divisible by 8? | |
Ans.An example of a number that is divisible by 8 is 1,024. To check, look at the last three digits, which are 024. Since 24 ÷ 8 = 3, which is a whole number, 1,024 is divisible by 8.
| 4. Is there a quick way to check if larger numbers are divisible by 11? | |
Ans.Yes, for larger numbers, you can still apply the rule for 11 by breaking the number down into groups of digits. For example, for 987,654,321, you can group the digits: (9 + 7 + 5 + 3) and (8 + 6 + 4 + 2 + 1). The sums are 24 and 21, respectively. The difference is 24 - 21 = 3, which is not divisible by 11, so 987,654,321 is not divisible by 11.
| 5. How can I remember the divisibility rules for 8 and 11? | |
Ans.A good way to remember the divisibility rule for 8 is to think of the last three digits, like a mini number check. For 11, remember to alternate sums of the digits based on their position. You can practice with various numbers to make these rules stick in your memory!
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