Question 1: List all the factors of 36.

Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36

Question 2: Find all the factors of 48.

Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Question 3: Calculate all factors of 20.

Answer: 1, 2, 4, 5, 10, 20

Question 4: List all the factors of 60.

Answer: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Question 5: Identify all the factors of 81.

Answer: 1, 3, 9, 27, 81

Question 6: A park has 56 benches. If they are arranged in rows with an equal number of benches per row, list all possible numbers of benches per row.

Answer: 1, 2, 4, 7, 8, 14, 28, 56

Question 7: A factory produces 120 units of a product daily. If the units are packed in boxes with an equal number of units in each box, list all possible box sizes.

Answer: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Question 8: Find all factors of 100 and explain how you determined them.

Answer: 1, 2, 4, 5, 10, 20, 25, 50, 100

Question 9: A bookshelf contains 84 books. If the books are arranged evenly in shelves, list all possible numbers of books per shelf.

Answer: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Question 10: Identify the common mistake: A student lists factors of 36 as 1, 2, 3, 6, 12, 36 and omits 4 and 9. Correct the list and explain the importance of checking all factors.

Answer: Correct list: 1, 2, 3, 4, 6, 9, 12, 18, 36. It's important to check all multiples because missing factors can lead to incorrect conclusions in problems involving divisibility.

Question 11: Challenge: Find the largest factor of 144 that is less than 100.

Answer: 72