According to the Fundamental Theorem of Arithmetic, if two different prime factorisations of a number seem to appear, what is the correct conclusion?
Answer and explanation
Correct answer: They will differ only in order
Step 1: The Fundamental Theorem of Arithmetic states uniqueness of prime factorisation. Step 2: The order of prime factors may change, but the prime factors themselves do not change. Step 3: In exams, do not treat a change of order as a different factorisation.
Frequently asked questions
What is the correct answer to this question?
They will differ only in order
Why is this the correct answer?
Step 1: The Fundamental Theorem of Arithmetic states uniqueness of prime factorisation. Step 2: The order of prime factors may change, but the prime factors themselves do not change. Step 3: In exams, do not treat a change of 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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