Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be Choose the correct choice
A) Between 1 to 10	B) Between 11 to 15	C) Between 15 to 20	D) Between 20 to 27	E) Greater than 27
Answer = E = Greater than 27   This problem is asking smallest prime factor of (25!+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 27! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 27   Answer = Greater than 27
<result>E</result>
Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be