What is the remainder when 1271 * 1275 * 1277 *1289 is divided by 12? Choose the correct choice from the following answers.
A) 0  B) 1  C) 9  D) 11  E) 7
1271*1275*1277*1285 = (1272 - 1)(1272 + 3)(1284 - 7)(1284 + 5) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(multiple of 12 + 1)   Now, if we expand this expression all terms but the last one will have a multiple of 12 in them, thus will leave no remainder upon division by 12, the last term will be (-1)(3)(-7)(5) = 105. Thus the question becomes: what is the remainder upon division of 105 by 12? The answer to this question is 9.   Answer: 9.
<result>C</result>
What is the remainder when 1271 * 1275 * 1277 *1289 is divided by 12?