A supermarket needs to display 64 boxes of detergent.

The boxes need to be stacked with the same number of boxes in each row.
There should be at least 3 rows with at least 4 boxes in each row.
Choose the correct answers from the drop-down boxes to complete all the ways the boxes of detergent can be stacked.

Choose
rows with 16 boxes in each row;

8 rows with
Choose
boxes in each row;

16 rows with
Choose
boxes in each row.

1 answer

To stack 64 boxes of detergent with the conditions specified (at least 3 rows and at least 4 boxes in each row), we can consider the factors of 64.

The factors of 64 are:

  • 1 x 64
  • 2 x 32
  • 4 x 16
  • 8 x 8

Given the restrictions:

  1. The arrangement of 64 boxes can be:
    • 4 rows with 16 boxes in each row
    • 8 rows with 8 boxes in each row
    • 16 rows with 4 boxes in each row

So, we can fill in the drop-down boxes as follows:

  • 4 rows with 16 boxes in each row;
  • 8 rows with 8 boxes in each row;
  • 16 rows with 4 boxes in each row.

These configurations meet both the requirement for the number of rows and the minimum boxes per row.