Final answer:
To divide 96 students into equally sized groups, group sizes that are divisors of 96 are needed. The three group sizes that will work are 12, 16, and 24.
Step-by-step explanation:
To divide 96 students into equally sized groups, we need to find group sizes that are divisors of 96. So, we need to find the factors of 96. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. Based on the given options, the three group sizes that will work are:
- Groups of 12 (96 ÷ 12 = 8)
- Groups of 16 (96 ÷ 16 = 6)
- Groups of 24 (96 ÷ 24 = 4)