If L = {x : x ∈ N and x is a factor of 13}, what type of set is L?
Answer and explanation
Correct answer: Finite set with two elements
The number 13 is prime, so its only positive natural factors are 1 and 13. Thus L = {1, 13}, which has exactly two elements. It is therefore a finite set with two elements, not empty, not a singleton, and certainly not infinite. The defining property of a prime number is useful here because it has exactly two positive factors.
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What is the correct answer to this question?
Finite set with two elements
Why is this the correct answer?
The number 13 is prime, so its only positive natural factors are 1 and 13. Thus L = {1, 13}, which has exactly two elements. It is therefore a finite set with two elements, not empty, not a singleton, and certainly not infinite. The defining property of a prime number is useful here because it has exactly two positive factors.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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