What is the correct meaning of uniqueness in the Fundamental Theorem of Arithmetic?
Answer and explanation
Correct answer: The order of factors may change but the prime factors remain the same
Step 1: The theorem says that prime factorisation of a number greater than 1 is fixed. Step 2: Changing the order does not change the product, such as (2\times3\times5) and (5\times2\times3). Step 3: In exams, do not treat changed order as a different factorisation.
Frequently asked questions
What is the correct answer to this question?
The order of factors may change but the prime factors 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: Changing the order does not change the product, such as (2\times3\times5) and (5\times2\times3). Step 3: In exams, do not treat changed order as a different 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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