An organization with 297 people will be divided into smaller committees. What are the possible committee sizes if every committee must be the same size?
A) 3 , 9 , 11 , 27 , 33 , 99
B) 3 , 9 , 11 , 27 , 33 , 99 , 297
C) 1, 3 , 9 , 11 , 297
D) 1, 3 , 9 , 11 , 33 , 99 , 297
E) 1, 3 , 9 , 11 , 27 , 33 , 99 , 297

Question

An organization with 297 people will be divided into smaller committees. What are the possible committee sizes if every committee must be the same size? ​
A) 3 , 9 , 11 , 27 , 33 , 99
B) 3 , 9 , 11 , 27 , 33 , 99 , 297
C) 1, 3 , 9 , 11 , 297
D) 1, 3 , 9 , 11 , 33 , 99 , 297
E) 1, 3 , 9 , 11 , 27 , 33 , 99 , 297

Quizplus · Accepted Answer

The possible committee sizes are determined by the factors of 297. The factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297 itself, meaning these are the sizes into which the organization can be evenly divided.

An Organization with 297 People Will Be Divided into Smaller