this is a complete list of the proper factors of a certain number: 1,2,3,4,6,7,12,14,21,28,42,49,84,98 ,127,196, 294. what is the number?

74676.

Step-by-step explanation:

Lets try multiplying 127 by 294 ( 127 is a prime number):

127 * 294 = 37338.

37338 / 196 = 190.5

37338 * 2 = 74676  which will now be divisible by 196.

74676 will be divisible by 98, 49 and 7 (because they are factors of  196).

It is also divisible by 84 ( to give 889) and therefore by 42, 28, 21, 14, 12,  6, 4, 3 , 2 and 1 which are all factors of 84.