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Divisibility Test for 3, 6, 9 Video Lecture - Class 8

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FAQs on Divisibility Test for 3, 6, 9 Video Lecture - Class 8

1. What is the divisibility test for 3?
Ans. The divisibility test for 3 states that a number is divisible by 3 if the sum of its digits is also divisible by 3. For example, if we have the number 246, the sum of its digits is 2 + 4 + 6 = 12, which is divisible by 3. Therefore, 246 is divisible by 3.
2. How can I test if a number is divisible by 6?
Ans. To test if a number is divisible by 6, we need to check if it is divisible by both 2 and 3. If the number is even, meaning its units digit is 0, 2, 4, 6, or 8, then it is divisible by 2. Additionally, if the sum of the digits is divisible by 3, then the number is divisible by 3. If both conditions are met, the number is divisible by 6.
3. What is the rule for divisibility by 9?
Ans. The rule for divisibility by 9 is that a number is divisible by 9 if the sum of its digits is divisible by 9. For example, let's consider the number 891. The sum of its digits is 8 + 9 + 1 = 18, which is divisible by 9. Therefore, 891 is divisible by 9.
4. Can a number be divisible by both 3 and 9?
Ans. Yes, a number can be divisible by both 3 and 9. Since 9 is a multiple of 3, any number that is divisible by 9 will also be divisible by 3. For example, if a number is divisible by 9, such as 135, it is automatically divisible by 3 as well.
5. How can I apply the divisibility test for 3, 6, and 9 in real-world situations?
Ans. The divisibility test for 3, 6, and 9 can be helpful in various real-world situations. For instance, when splitting a bill among friends, you can quickly determine if the total amount is divisible by 3 to ensure that everyone pays an equal share. In business, when calculating inventory or stock items, the divisibility test can be used to check if the counts are accurate. Additionally, when solving mathematical problems or puzzles, applying the divisibility test can assist in determining possible solutions.
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