If (N=2^3 \times 3^2 \times 5), by which property is the prime factorisation of (N) considered unique?
Answer and explanation
Correct answer: Fundamental theorem of arithmetic
Step 1: The fundamental theorem of arithmetic says every integer greater than (1) has a unique prime factorisation apart from order. Step 2: So the given factorisation of (N) is based on this property. Step 3: Link uniqueness of prime factorisation with this theorem.
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What is the correct answer to this question?
Fundamental theorem of arithmetic
Why is this the correct answer?
Step 1: The fundamental theorem of arithmetic says every integer greater than (1) has a unique prime factorisation apart from order. Step 2: So the given factorisation of (N) is based on this property. Step 3: Link uniqueness of prime factorisation with this theorem.
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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