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Which statement correctly describes the uniqueness of prime factorisation?

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Answer and explanation

Correct answer: Every integer greater than (1) can be written as a product of primes in one basic way

Step 1: The fundamental theorem of arithmetic says every integer greater than (1) has a unique prime factorisation except for order. Step 2: Option A states this correctly. Step 3: Unique means the same prime factors appear, only their order may change.

Related tags

Real NumbersFundamental TheoremPrime FactorisationConcept

Frequently asked questions

What is the correct answer to this question?

Every integer greater than (1) can be written as a product of primes in one basic way

Why is this the correct answer?

Step 1: The fundamental theorem of arithmetic says every integer greater than (1) has a unique prime factorisation except for order. Step 2: Option A states this correctly. Step 3: Unique means the same prime factors appear, only their order may change.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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