CBSE Class 6 Mathematics Question 10 of 48

Prime Time — Question 11

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11
Question
A number for which the sum of all its factors is equal to twice the number is called a perfect number. The number 28 is a perfect number. Its factors are 1, 2, 4, 7, 14 and 28. Their sum is 56 which is twice 28. Find a perfect number between 1 and 10.
Answer

Factors of 6 are 1,2 and 3.
⇒ 1 + 2 + 3 + 6 = 12
Since, 12 = 2 × 6
∴ Sum of factors is equal to twice the number.
Thus, 6 is a perfect number between 1 and 10.


Source: This question is from Prime Time, Mathematics — Class 6, CBSE Board.

Key Concepts Covered

This question tests your understanding of the following concepts from the chapter Prime Time: Number, Sum, Factors, Equal, Twice, Perfect. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.

A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.

How to Approach This Question

Read the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.

Key Points to Remember

  • Always show your working steps clearly.
  • Verify your answer by substituting values back into the equation.
  • Practice similar problems from the textbook exercises.
  • Memorise important formulae and their conditions of applicability.

Practice more questions from Prime Time — Mathematics, Class 6 CBSE