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Real Numbers
NCERT Exemplar Ch 01
CBSE_NCERT_EXEMPLAR_CH01
Grade 10

Question:

The total number of factors of a prime number $p$ is:

$1$
$2$
$3$
Infinite

Step-by-Step Solution

Key Concept: By definition, a prime number has exactly two distinct positive factors: 1 and itself.
Stepwise Solution:

Factors of any prime number $p$ are $1$ and $p$ only. [0.5 Mark]

Hence, total count of factors $= 2$. [0.5 Mark]

Marking Scheme:

• Correct definition recall: 0.5 Mark
• Correct count: 0.5 Mark

Correct Answer: $2$
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