Integer X represents the product of all integers between 1 to 26 (inclusive). The smallest prime factor of (x+1) must be	Pick
A) Between 1 to 10 B) Between 11 to 15 C) Between 15 to 20 D) Between 20 to 26 E) Greater than 26
Answer = E = Greater than 26   This problem is asking smallest prime factor of (26!+1)   25! already have there prime factors 2,3,5,7,11,13.......... so on upto 23 (1 cannot be considered prime factor)   Just adding 1 to 26! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 26   Answer = Greater than 26
<result>E</result>
Integer X represents the product of all integers between 1 to 26 (inclusive). The smallest prime factor of (x+1) must be