What does uniqueness of prime factorisation in the Fundamental Theorem of Arithmetic clarify?
Answer and explanation
Correct answer: The set of prime factors remains fixed except for order
Step 1: This theorem says that the prime factorisation of a number greater than 1 is fixed. Step 2: The order may change, but the prime factors do not change. Step 3: In exams, do not treat changed order as a new factorisation.
Frequently asked questions
What is the correct answer to this question?
The set of prime factors remains fixed except for order
Why is this the correct answer?
Step 1: This theorem says that the prime factorisation of a number greater than 1 is fixed. Step 2: The order may change, but the prime factors do not change. Step 3: In exams, do not treat changed order as a new factorisation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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