Final answer:
To find all the possible arrays for 5, 7, and 11, we can use grids to represent the numbers. The total number of elements in the array remains the same for all the arrays of a given number. This concept demonstrates the relationship between the number of rows, columns, and elements in an array.
Step-by-step explanation:
To find all the possible arrays for 5, 7, and 11, we can use grids to represent the numbers. For example, for 5, we can have an array of 1 row and 5 columns, or 5 rows and 1 column. Here are all the possible arrays:
- 5 x 1 array: □ □ □ □ □
- 1 x 5 array: □
- 2 x 3 array: □ □ □
□ □ □ - 3 x 2 array: □ □
□ □
□ □
When looking at the arrays for these numbers, we notice that the number of rows and columns can vary, but the total number of elements in the array remains the same. For example, for 5, we have a total of 5 elements in all the arrays. This is true for 7 and 11 as well. This demonstrates the concept of arrays where the number of elements is determined by the product of the number of rows and columns.