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Examples: Divisibility Tests Video Lecture - Class 8

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FAQs on Examples: Divisibility Tests Video Lecture - Class 8

1. What is a divisibility test?
A divisibility test is a rule or method used to determine if one number can be evenly divided by another number without leaving a remainder. It helps to quickly identify whether a number is divisible by another number or not.
2. Why are divisibility tests important in mathematics?
Divisibility tests are important in mathematics as they help in simplifying calculations and finding patterns in numbers. They are particularly useful for determining factors, multiples, and prime numbers. Divisibility tests also aid in solving problems related to fractions, decimals, and algebraic expressions.
3. How does the divisibility test for 2 work?
The divisibility test for 2 states that a number is divisible by 2 if its last digit is even, i.e., it ends with 0, 2, 4, 6, or 8. For example, the number 246 is divisible by 2 because its last digit is 6, which is an even number.
4. Explain the divisibility test for 3.
The divisibility test for 3 states that a number is divisible by 3 if the sum of its digits is divisible by 3. For example, consider the number 123. The sum of its digits is 1 + 2 + 3 = 6, which is divisible by 3. Therefore, 123 is divisible by 3.
5. How can the divisibility test for 9 be applied?
The divisibility test for 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9. For instance, let's take the number 567. The sum of its digits is 5 + 6 + 7 = 18, which is divisible by 9. Hence, 567 is divisible by 9.
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