What is V={x: x∈N and x is a factor of 6}?
Answer and explanation
Correct answer: V={1,2,3,6}
A factor of 6 is a natural number that divides 6 exactly, leaving remainder zero. The factor pairs are 1×6 and 2×3, so the positive natural factors are 1, 2, 3, and 6. Zero cannot be a factor because division by zero is undefined, and 12 is not a divisor of 6. Therefore option A is the complete roster form of V.
Frequently asked questions
What is the correct answer to this question?
V={1,2,3,6}
Why is this the correct answer?
A factor of 6 is a natural number that divides 6 exactly, leaving remainder zero. The factor pairs are 1×6 and 2×3, so the positive natural factors are 1, 2, 3, and 6. Zero cannot be a factor because division by zero is undefined, and 12 is not a divisor of 6. Therefore option A is the complete roster form of V.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.