Final answer:
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Factors are numbers that divide the original number without a remainder. The provided list with numbers like 4, 8, 20, and 40 is incorrect because they don't divide 30 evenly.
Step-by-step explanation:
The student has asked to list all the factors of the number 30. Factors of a number are the integers which can divide the original number without leaving a remainder. To find these, we can start from 1 and go up to the number itself, checking which numbers can divide it evenly. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The provided answer, which includes numbers such as 4, 8, 20, and 40, is incorrect because those numbers cannot divide 30 without leaving a remainder.
To add some clarity on the notion of factor, it refers to a number that can be multiplied by another number to get the original number. For example, 6 is a factor of 30 because when you multiply it by 5, you get 30. Similarly, 2 and 15 are factors of 30 because 2 × 15 equals 30.
Now, let's also touch on the complement of a number that the student has asked about in a previous question. The complement here means the set of numbers that are not factors of our original number within a specific range, such as from 1 to 30 in this case. So, the complement would include all numbers between 1 and 30 that are not factors of 30. For instance, 4, 7, 8, 9, 11, etc., are part of the complement since they can't divide 30 without a remainder.