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Which of the following statements about even numbers is true?
- a)They are always divisible by 2.
- b)They can only be prime.
- c)They end in 1, 3, 5, 7, or 9.
- d)They have no factors.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements about even numbers is true?a) They a...
Even numbers are defined as multiples of 2 and thus are always divisible by 2. Examples include 0, 2, 4, 6, etc.
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Which of the following statements about even numbers is true?a) They a...
Understanding Even Numbers
Even numbers are a fundamental concept in mathematics. Let's explore the properties of even numbers and why option 'A' is the correct choice.
Definition of Even Numbers
- An even number is any integer that is divisible by 2. This means that when you divide an even number by 2, the result is always another whole number without any remainder.
Why Option 'A' is Correct
- Divisible by 2: By definition, every even number can be expressed as 2n, where n is an integer. For example, numbers like 2, 4, 6, 8, and 10 are all even because they can be divided evenly by 2.
Why Other Options are Incorrect
- Option B (They can only be prime): This is false. The only even prime number is 2. All other even numbers (like 4, 6, 8, etc.) are not prime because they have factors other than 1 and themselves.
- Option C (They end in 1, 3, 5, 7, or 9): This is incorrect. Even numbers always end in 0, 2, 4, 6, or 8.
- Option D (They have no factors): This is also false. Even numbers have multiple factors, including 1, 2, and other numbers.
Conclusion
In conclusion, option 'A' is the only true statement about even numbers. They are consistently divisible by 2, which is the defining property of even numbers. Understanding this concept is essential as it lays the foundation for more advanced mathematical topics.
Even numbers are a fundamental concept in mathematics. Let's explore the properties of even numbers and why option 'A' is the correct choice.
Definition of Even Numbers
- An even number is any integer that is divisible by 2. This means that when you divide an even number by 2, the result is always another whole number without any remainder.
Why Option 'A' is Correct
- Divisible by 2: By definition, every even number can be expressed as 2n, where n is an integer. For example, numbers like 2, 4, 6, 8, and 10 are all even because they can be divided evenly by 2.
Why Other Options are Incorrect
- Option B (They can only be prime): This is false. The only even prime number is 2. All other even numbers (like 4, 6, 8, etc.) are not prime because they have factors other than 1 and themselves.
- Option C (They end in 1, 3, 5, 7, or 9): This is incorrect. Even numbers always end in 0, 2, 4, 6, or 8.
- Option D (They have no factors): This is also false. Even numbers have multiple factors, including 1, 2, and other numbers.
Conclusion
In conclusion, option 'A' is the only true statement about even numbers. They are consistently divisible by 2, which is the defining property of even numbers. Understanding this concept is essential as it lays the foundation for more advanced mathematical topics.
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Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer? for Class 5 2025 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer?.
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Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following statements about even numbers is true?a) They are always divisible by 2.b) They can only be prime.c) They end in 1, 3, 5, 7, or 9.d) They have no factors.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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