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Divisibility by 3,6 and 9 - Playing with Numbers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 5

FAQs on Divisibility by 3,6 and 9 - Playing with Numbers Video Lecture - Advance Learner Course: Mathematics (Maths) Class 5

1. What does it mean for a number to be divisible by 3, 6, and 9?
Ans. A number is said to be divisible by 3, 6, and 9 if it can be divided evenly by each of these numbers without leaving any remainder.
2. Can you provide examples of numbers that are divisible by 3, 6, and 9?
Ans. Yes, examples of numbers that are divisible by 3, 6, and 9 are 18, 36, 54, 72, and 90.
3. How can we determine if a number is divisible by 3, 6, or 9?
Ans. To determine if a number is divisible by 3, we can add up its digits and check if the sum is divisible by 3. Similarly, to check if a number is divisible by 6, we can first check if it is divisible by 2 (i.e., its last digit is even) and then check if the sum of its digits is divisible by 3. To check if a number is divisible by 9, we can add up its digits and check if the sum is divisible by 9.
4. Are there any special properties or patterns for numbers divisible by 3, 6, and 9?
Ans. Yes, there are some patterns. Any number whose digits add up to a multiple of 3 is divisible by 3. For numbers divisible by 6, their last digit must be even, and the sum of their digits must be divisible by 3. Numbers divisible by 9 have their digits adding up to a multiple of 9.
5. Can a number be divisible by 3 and 9 but not 6?
Ans. No, if a number is divisible by 9, it must also be divisible by 3. Therefore, any number divisible by 9 is also divisible by 6, as 6 is a multiple of 3.
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