When Katya factored 288, she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18, 32, 36, 48, 72, 96, and 288. Use a factor rainbow to decide which three factors she missed.

Please find a representation of the factor rainbow below.

The missing factors are: 4, 24, and 144

Step-by-step explanation:

The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.

To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.

From the attached factor rainbow (see attached image), it can be observed that factors:  4, 24, and 144 are missing in the list of factors Katya provided.

translate k to n and reflect across the line containing jk.