This year, 96 students signed up for the group talent contest. If all the groups had the same number of students, how many groups could be formed? A. 3 groups B. 4 groups C. 5 groups D. Either 3 groups or 4 groups
Question
This year, 96 students signed up for the group talent contest. If all the groups had the same number of students, how many groups could be formed? A. 3 groups B. 4 groups C. 5 groups D. Either 3 groups or 4 groups
Solution
To answer this question, we need to find the factors of 96, which are the numbers that can divide 96 without leaving a remainder.
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
Looking at the options given:
A. 3 groups - Yes, 96 can be divided into 3 groups because 3 is a factor of 96. B. 4 groups - Yes, 96 can be divided into 4 groups because 4 is a factor of 96. C. 5 groups - No, 96 cannot be divided into 5 groups because 5 is not a factor of 96. D. Either 3 groups or 4 groups - Yes, 96 can be divided into either 3 groups or 4 groups because both 3 and 4 are factors of 96.
So, the correct answer is D. Either 3 groups or 4 groups.
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