What is the least positive integer that is not a factor of 30! and is not a prime number? Pick
A) 31	B) 32	C) 33	D) 62	E) 64
A) 31 is prime and per the question stem we cannot use this   B) 32 = 2 * 16 - within 30! we have a 2 and 16 so 32 will be a factor of 30!   C) 33 = 3 *11 - again within 30! we have a 3 and an 11 so 33 will be a factor of 30!   62) 62 = 31 * 2 - Bingo 31 is not included in 30!   E) 64 = 16 * 4 - both 16 and 4 are multiplied in 30!   Answer is 62!
<result>D</result>
What is the least positive integer that is not a factor of 30! and is not a prime number?