Question 1: List all the factor pairs of 24.

Answer: [1,24], [2,12], [3,8], [4,6]

Question 2: Find the factor pairs of 36.

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

Question 3: Calculate all factor pairs of 50.

Answer: [1,50], [2,25], [5,10]

Question 4: Construct a list of factor pairs for 48.

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

Question 5: Identify the factor pairs of 100.

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

Question 6: A bag contains 36 marbles. List all the possible ways to divide them into equal groups based on factor pairs.

Answer: Groups of 1 (36 marbles), 2 (18 marbles), 3 (12 marbles), 4 (9 marbles), 6 (6 marbles), 9 (4 marbles), 12 (3 marbles), 18 (2 marbles), 36 (1 group)

Question 7: A rectangle has an area of 56 square units. Find all possible integer pairs of length and width.

Answer: Possible pairs: (1,56), (2,28), (4,14), (7,8)

Question 8: Explain why the factor pair (3, 16) is valid for 48, but (3, 17) is not.

Answer: Because 3 × 16 = 48, which is true, but 3 × 17 = 51, which does not equal 48.

Question 9: Find the missing number in the factor pair: (6, __) for 36.

Answer: 6

Question 10: List all factor pairs of 81, including the pair where the two factors are the same.

Answer: [1,81], [3,27], [9,9]

Question 11: Challenge: Find all factor pairs of 144 that include 12 as a factor.

Answer: [12,12], [12,12], [12,12]