What type of set is the set of positive divisors of 1?
Answer and explanation
Correct answer: A singleton and finite set
A positive divisor of a number is a positive integer that divides it exactly. The only positive integer that divides 1 is 1 itself, because 1 ÷ 1 = 1. Thus the set of positive divisors of 1 is {1}. A set containing exactly one element is called a singleton, and because its elements can be counted, it is also finite.
Frequently asked questions
What is the correct answer to this question?
A singleton and finite set
Why is this the correct answer?
A positive divisor of a number is a positive integer that divides it exactly. The only positive integer that divides 1 is 1 itself, because 1 ÷ 1 = 1. Thus the set of positive divisors of 1 is {1}. A set containing exactly one element is called a singleton, and because its elements can be counted, it is also finite.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
