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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 1.2 The Fundamental Theorem of Arithmetic
The natural number 2 is :
  1. (a) a prime number
  2. (b) a composite number
  3. (c) prime as well as composite
  4. (d) neither prime nor composite
Previously asked in CBSE board exam
2026 30/1/1 Q2
Generated by claude-sonnet-4-6 · 2026-06-15 10:36 · grounding rag
Model Answer

(a) a prime number

2 is a prime number because it has exactly two distinct factors: 1 and itself, and it is listed among the collection of prime numbers in the Fundamental Theorem of Arithmetic.

Source: Chapter 1, Section 1.2

Explanation

2 is the smallest and the only even prime number. A prime number has exactly two factors — 1 and itself. 2 satisfies this condition. It is neither composite (which requires more than two factors) nor both. Examiners expect the correct option with a brief justification for MCQs.

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