Class 5 Exam > Class 5 Questions > What is a factor?a)A number that divides exac...
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What is a factor?
- a)A number that divides exactly into another number.
- b)A number that can be halved.
- c)A number that can be multiplied by itself.
- d)A number that can be divided only by two.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is a factor?a)A number that divides exactly into another number.b...
Factors are numbers that can be divided exactly into another number.
This question is part of UPSC exam. View all Class 5 courses
Most Upvoted Answer
What is a factor?a)A number that divides exactly into another number.b...
Understanding Factors
Factors are fundamental concepts in mathematics, particularly in number theory. Let’s clarify what a factor is and why the correct answer is not option 'C'.
Definition of a Factor
- A factor of a number is any number that divides that number exactly, without leaving a remainder. For example, for the number 12, the factors are 1, 2, 3, 4, 6, and 12.
Analyzing the Options
- Option A: A number that divides exactly into another number.
- This is the correct definition of a factor. For instance, 3 is a factor of 12 because 12 divided by 3 equals 4, with no remainder.
- Option B: A number that can be halved.
- This is not a correct definition of a factor. Halving a number does not relate to whether it is a factor of another number.
- Option C: A number that can be multiplied by itself.
- This describes a square number, not a factor. For instance, 4 is a square of 2 (2 x 2), but it is not a definition of what a factor is.
- Option D: A number that can be divided only by two.
- This is incorrect as well. Factors can be divided by various numbers, not just two.
Conclusion
The correct answer is option A: a number that divides exactly into another number. Understanding factors is essential for various mathematical operations, including finding greatest common divisors and simplifying fractions.
Factors are fundamental concepts in mathematics, particularly in number theory. Let’s clarify what a factor is and why the correct answer is not option 'C'.
Definition of a Factor
- A factor of a number is any number that divides that number exactly, without leaving a remainder. For example, for the number 12, the factors are 1, 2, 3, 4, 6, and 12.
Analyzing the Options
- Option A: A number that divides exactly into another number.
- This is the correct definition of a factor. For instance, 3 is a factor of 12 because 12 divided by 3 equals 4, with no remainder.
- Option B: A number that can be halved.
- This is not a correct definition of a factor. Halving a number does not relate to whether it is a factor of another number.
- Option C: A number that can be multiplied by itself.
- This describes a square number, not a factor. For instance, 4 is a square of 2 (2 x 2), but it is not a definition of what a factor is.
- Option D: A number that can be divided only by two.
- This is incorrect as well. Factors can be divided by various numbers, not just two.
Conclusion
The correct answer is option A: a number that divides exactly into another number. Understanding factors is essential for various mathematical operations, including finding greatest common divisors and simplifying fractions.
Community Answer
What is a factor?a)A number that divides exactly into another number.b...
C
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What is a factor?a)A number that divides exactly into another number.b)A number that can be halved.c)A number that can be multiplied by itself.d)A number that can be divided only by two.Correct answer is option 'C'. Can you explain this answer?
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