In the Fundamental Theorem of Arithmetic, prime factorisation of a number is called unique. What does this correctly mean?
Answer and explanation
Correct answer: The order may change but the prime factors do not change
Step 1: Uniqueness means the set of prime factors remains fixed. Step 2: Changing the order does not change the product, so (2\times3\times5) and (5\times3\times2) are the same prime factorisation. Step 3: In exams, do not treat order change as a different answer.
Frequently asked questions
What is the correct answer to this question?
The order may change but the prime factors do not change
Why is this the correct answer?
Step 1: Uniqueness means the set of prime factors remains fixed. Step 2: Changing the order does not change the product, so (2\times3\times5) and (5\times3\times2) are the same prime factorisation. Step 3: In exams, do not treat order change as a different answer.
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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