Which of the following integers is a divisor of(15!+12)?
Choose the correct choice:
A) 15  B) 14  C) 12  D) 7  E) 2
When we say 15!, it just means 1*2*3*4*5*...*13*14*15   So you need to find the integer which is a divisor of   (1*2*3*4*5*...*13*14*15 + 12) = 12 (1*2*3*4*5*...11*13*14*15 + 1) We obtain this by taking 12 common.   Hence 12 is definitely a divisor of (15! + 12).   12
<result>C</result>
Which of the following integers is a divisor of(15!+12)?