NCERT · Class 6 · Mathematics · Playing with NumbersWhich of the following represents the correct prime factorisation of 24?
Step-by-Step Solution
The correct answer is $2 \times 2 \times 2 \times 3$.
Explanation:
- In prime factorisation, all factors must be prime numbers.
- $24 = 2 \times 12 = 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 3$
- All numbers (2 and 3) in $2 \times 2 \times 2 \times 3$ are prime numbers.
Detailed Options Breakdown
Option : $2 \times 2 \times 6$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 1: $2 \times 3 \times 4$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 2: $2 \times 2 \times 2 \times 3$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $1 \times 24$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
💡 Study Guide: This question tests core syllabus concepts from Playing with Numbers. For formulas, key summaries, and mock exam reference guides, read the full Playing with Numbers Revision Notes.