Question 1: List all the factors of 36.

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

Question 2: Calculate all factors of 48.

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

Question 3: List the factors of 50 and identify which are even.

Answer: 1, 2, 5, 10, 25, 50; even factors: 2, 10, 50

Question 4: Find all the factors of 81.

Answer: 1, 3, 9, 27, 81

Question 5: Construct a list of factors for 60 and explain how you determined them.

Answer: Factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60; determined by testing divisibility.

Question 6: Identify the common factors of 36 and 48.

Answer: 1, 2, 3, 4, 6, 12

Question 7: A number has factors 1, 2, 4, 8, and 16. What is the number? List all factors.

Answer: 16; factors: 1, 2, 4, 8, 16

Question 8: Determine whether 100 has more, fewer, or the same number of factors as 81. Justify your answer.

Answer: 100 has more factors (1, 2, 4, 5, 10, 20, 25, 50, 100) than 81 (1, 3, 9, 27, 81).

Question 9: List all factors of 64, then identify the largest factor other than 64 itself.

Answer: Factors: 1, 2, 4, 8, 16, 32, 64; largest other than 64: 32

Question 10: Find all factors of 90 and explain whether 3 is a factor of all of them.

Answer: Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90; 3 is a factor of all factors divisible by 3.

Question 11: Identify the common factors of 72 and 108 and state which is the greatest common factor.

Answer: Common factors: 1, 2, 3, 4, 6, 8, 12; greatest is 12