What is the most accurate meaning of unique prime factorisation in the Fundamental Theorem of Arithmetic?
Answer and explanation
Correct answer: The order may change, but the prime factors and their powers remain the same
Step 1: The theorem says that prime factorisation of a number greater than 1 is fixed. Step 2: The order may change, but the prime bases and their powers do not change. Step 3: In exams, do not treat a change of order as a new factorisation.
Frequently asked questions
What is the correct answer to this question?
The order may change, but the prime factors and their powers remain the same
Why is this the correct answer?
Step 1: The theorem says that prime factorisation of a number greater than 1 is fixed. Step 2: The order may change, but the prime bases and their powers do not change. Step 3: In exams, do not treat a change of 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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