Final answer:
For the number 13, there are only two possible arrays: 1x13 and 13x1, as 13 is a prime number with only 1 and 13 as its factors.
Step-by-step explanation:
The question asks to find all the possible arrays for the number 13 and use those arrays to help write the factors of 13. An array, in this context, refers to a way of arranging objects in rows and columns such that the rows times the columns equals the number. For the number 13, since it is a prime number, there are only two factors: 1 and 13 itself. Therefore, the only possible arrays we can have are 1x13 and 13x1.
Here's what these arrays would look like visually:
- 1x13: One row with thirteen objects.
- 13x1: Thirteen rows with one object each.
These arrays show that the number 13 does not have a wide variety of factors or arrays since it can only be divided evenly by 1 and by itself, which is the characteristic of a prime number.