Question

Which of the following is a prime number?

• A. \(517\)
• B. \(559\)
• C. \(571\)
• D. \(533\)
• E. \(539\)

Answer 1

The Correct Option is C

Concept: A
prime number has exactly two factors: 1 and itself.
Step 1: Check divisibility of each option.

• \(517 = 11 \times 47\) → Not prime
• \(559 = 13 \times 43\) → Not prime
• \(571\): Not divisible by 2, 3, 5, 7, 11, 13, 17, 19, 23 → Prime
• \(533 = 13 \times 41\) → Not prime
• \(539 = 7 \times 77\) → Not prime

Step 2: Identify prime number.
Only \(571\) has no factors other than 1 and itself.
Step 3: Option analysis.

• (A) 517: Composite $\times$
• (B) 559: Composite $\times$
• (C) 571: Prime \checkmark
• (D) 533: Composite $\times$
• (E) 539: Composite $\times$

Conclusion:
Thus, the correct answer is
Option (C).