CBSE · Class 6 · Mathematics · Playing with NumbersA number for which the sum of all its factors is equal to twice the number is called a perfect number. Which of the following is a perfect number?
Step-by-Step Solution
The correct answer is 6.
Explanation:
- Factors of 6 are 1, 2, 3, and 6.
- Sum of factors = $1 + 2 + 3 + 6 = 12$.
- Since $12 = 2 \times 6$ (twice the number), 6 is a perfect number.
Detailed Options Breakdown
Option : 6 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 10
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 2: 12
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Playing with Numbers.
Option 3: 15
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.