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Question

If n is a positive integer greater than 1, then PRO(n) represents the product of all the prime numbers less than or equal to n. The largest prime factor of PRO(12)+11 is:


A

2

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B

11

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C

13

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D

none of these

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Solution

The correct option is D

none of these


PRO (12)+11=2×3×5×7×11+11
=11×(2×3×5×7+1)
=11×(210+1)
=11×211

Since 211 is prime, the largest prime factor = 211.


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