Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

What is the nature of A = {x ∈ ℕ : x is a prime factor of 12}?

Advertisement

Answer and explanation

Correct answer: Finite set

The prime factorisation of 12 is 12 = 2² × 3. Its only prime factors are therefore 2 and 3, so A = {2, 3}. This set contains exactly two elements. Because the elements are limited and can be completely listed, A is a finite set, not an infinite set and certainly not all of ℕ.

Tags

setsfinite setprime factorsnatural numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Finite set

Why is this the correct answer?

The prime factorisation of 12 is 12 = 2² × 3. Its only prime factors are therefore 2 and 3, so A = {2, 3}. This set contains exactly two elements. Because the elements are limited and can be completely listed, A is a finite set, not an infinite set and certainly not all of ℕ.

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.

Report question
Advertisement