MP Board · Class 10 · Mathematics · Real NumbersAccording to the Fundamental Theorem of Arithmetic, every composite number can be expressed (factorized) as a product of primes, and this factorization is:
📊Student Analytics & Stats
Total Attempts: 10
Accuracy Rate: 70%
Step-by-Step Solution
The correct answer is A (Unique, apart from the order of prime factors).
Explanation:\nThe Fundamental Theorem of Arithmetic states that every composite number can be factored as a product of prime numbers, and this prime factorization is unique, except for the order in which the prime factors occur.
Detailed Options Breakdown
Option : Unique, apart from the order of prime factors (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: Not unique
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 2: Always in ascending order
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: Always in descending order
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.