Class 8 Exam > Class 8 Questions > If a number is divisible by 9, it is also div...
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If a number is divisible by 9, it is also divisible by which number?
- a)3
- b)6
- c)2
- d)4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a number is divisible by 9, it is also divisible by which number?a)...
**Divisibility Rule for 9:**
To determine if a number is divisible by 9, we can use the divisibility rule for 9. The rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.
For example, let's consider the number 81. The sum of its digits is 8 + 1 = 9, which is divisible by 9. Therefore, 81 is divisible by 9.
**Divisibility Rule for 3:**
Similarly, we have the divisibility rule for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.
Using the same example, let's consider the number 81. The sum of its digits is 8 + 1 = 9, which is divisible by 3. Therefore, 81 is divisible by 3 as well.
**Connection between Divisibility by 9 and 3:**
Since both the divisibility rule for 9 and the divisibility rule for 3 rely on the sum of the digits being divisible by 3, we can conclude that a number divisible by 9 will also be divisible by 3. This is because if a number's digits add up to a multiple of 9, they will also add up to a multiple of 3.
Therefore, if a number is divisible by 9, it is also divisible by 3.
**Conclusion:**
The correct answer to the question is option 'A'. If a number is divisible by 9, it is also divisible by 3.
To determine if a number is divisible by 9, we can use the divisibility rule for 9. The rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.
For example, let's consider the number 81. The sum of its digits is 8 + 1 = 9, which is divisible by 9. Therefore, 81 is divisible by 9.
**Divisibility Rule for 3:**
Similarly, we have the divisibility rule for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.
Using the same example, let's consider the number 81. The sum of its digits is 8 + 1 = 9, which is divisible by 3. Therefore, 81 is divisible by 3 as well.
**Connection between Divisibility by 9 and 3:**
Since both the divisibility rule for 9 and the divisibility rule for 3 rely on the sum of the digits being divisible by 3, we can conclude that a number divisible by 9 will also be divisible by 3. This is because if a number's digits add up to a multiple of 9, they will also add up to a multiple of 3.
Therefore, if a number is divisible by 9, it is also divisible by 3.
**Conclusion:**
The correct answer to the question is option 'A'. If a number is divisible by 9, it is also divisible by 3.
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Community Answer
If a number is divisible by 9, it is also divisible by which number?a)...
Yes ... Answer is 3 because the no. which is divisible by 9 can also be divisible by 3 because 9 itself is divisible by 3 .... For example - 27 is divisible by 9 -( 27÷9=3) but it is also divisible by 3- ( 27÷3=9) .. Take another example , 36 is divisible by 9 - (36÷9=4) but it's also divisible by 3 - (36÷3=13) .... so now , it is proved that any no. which is divisible by 9 is also divisible by 3 .
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If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer?.
If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a number is divisible by 9, it is also divisible by which number?a)3b)6c)2d)4Correct answer is option 'A'. Can you explain this answer?.
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