What is the remainder when 1271 * 1276 * 1277 *1285 is divided by 12?  Select the correct option
A) 0 B) 1 C) 11 D) 9 E) 4
1271*1275*1277*1285 = (1272 - 1)(1272 + 4)(1284 - 7)(1284 + 1) = (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)(4)(-7)(1) = 28. Thus the question becomes: what is the remainder upon division of 28 by 12? The answer to this question is 4.   Answer: 4
<result>E</result>
What is the remainder when 1271 * 1276 * 1277 *1285 is divided by 12?