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If a number is divisible by 2 and 3 both then is divisible by
- a)3
- b)6
- c)5
- d)7
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If a number is divisible by 2 and 3 both then is divisible bya)3b)6c)5...
Divisibility Rules
- Divisibility rule of 2: If a number is even, it is divisible by 2.
- Divisibility rule of 3: If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
- Divisibility rule of 6: If a number is divisible by both 2 and 3, then it is divisible by 6.
Explanation
- If a number is divisible by 2, it means it is an even number.
- If the sum of the digits of a number is divisible by 3, it means the number is divisible by 3.
- If a number is divisible by both 2 and 3, it means the number is even and the sum of its digits is also divisible by 3.
- Therefore, the number is also divisible by 6.
Conclusion
- Hence, if a number is divisible by 2 and 3 both, then it is divisible by 6.
- Therefore, the correct answer is option 'B'.
- Divisibility rule of 2: If a number is even, it is divisible by 2.
- Divisibility rule of 3: If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
- Divisibility rule of 6: If a number is divisible by both 2 and 3, then it is divisible by 6.
Explanation
- If a number is divisible by 2, it means it is an even number.
- If the sum of the digits of a number is divisible by 3, it means the number is divisible by 3.
- If a number is divisible by both 2 and 3, it means the number is even and the sum of its digits is also divisible by 3.
- Therefore, the number is also divisible by 6.
Conclusion
- Hence, if a number is divisible by 2 and 3 both, then it is divisible by 6.
- Therefore, the correct answer is option 'B'.
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Community Answer
If a number is divisible by 2 and 3 both then is divisible bya)3b)6c)5...
A number is divisible by 6 if the number is divisible by both 2 and 3.
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If a number is divisible by 2 and 3 both then is divisible bya)3b)6c)5d)7Correct answer is option 'B'. Can you explain this answer?
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