Mr wang has a rug in the shape of a rectangle. The area of the rug is 3,456 square inches. Which could be the dimensions of the rug

Here are all possible answers I came up with:

1 × 3456 = 3,456

²

2 × 1728 = 3,456

²

3 × 1152 = 3,456

²

4 × 864 = 3,456

²

6 × 576 = 3,456

²

8 × 432 = 3,456

²

9 × 384 = 3,456

²

12 × 288 = 3,456²

16 × 216 = 3,456

²

18 × 192 = 3,456

²

24 × 144 = 3,456

²

27 × 128 = 3,456

²

32 × 108 = 3,456

²

36 × 96 = 3,456

²

48 × 72 = 3,456

²

54 × 64 = 3,456²

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.