Integer X represents the product of all integers between 1 to 24 (inclusive). The smallest prime factor of (x+1) must be  Choose the correct choice from the following answers.
A) Between 1 to 10  B) Between 11 to 15  C) Between 15 to 20  D) Between 20 to 25  E) Greater than 24
Answer = E = Greater than 24   This problem is asking smallest prime factor of (24!+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 24! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 24   Answer = Greater than 24
<result>E</result>
Integer X represents the product of all integers between 1 to 24 (inclusive). The smallest prime factor of (x+1) must be