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.
What is a factor?a)A number that divides exactly into another number.b...
C
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