Students are determining all of the ways that a collection of 36 pencils can be split into equal-sized groups. Which THREE numbers could be the size of one of the groups?
3, 4, and 8 could be the sizes of one of the groups.
A collection of 36 pencils can be evenly divided into groups based on its divisors. The numbers 3, 4, and 8 all divide 36 without leaving a remainder, making them valid group sizes.
The number 3 is a divisor of 36, as 36 divided by 3 results in 12, indicating that 36 pencils can be split into 12 groups of 3 pencils each. This confirms that 3 is a valid group size.
Similarly, 4 is also a divisor of 36. Dividing 36 by 4 yields 9, meaning 36 pencils can be organized into 9 groups of 4 pencils each. Thus, 4 is a valid group size as well.
The number 5 cannot be a group size because 36 divided by 5 does not yield a whole number; it results in 7.2. Therefore, 5 cannot evenly divide the collection of 36 pencils, rendering it an invalid choice.
The number 6 is a divisor of 36 since 36 divided by 6 equals 6, indicating that the pencils can be split into 6 groups of 6 pencils each. Hence, 6 is indeed a valid group size.
The number 8 is a divisor of 36. When 36 is divided by 8, it results in 4.5, which is not a whole number. Therefore, 8 cannot evenly divide the collection of pencils, making it an invalid choice.
The valid group sizes for splitting 36 pencils into equal-sized groups are 3, 4, and 6, as they are all divisors of 36. In contrast, 5 and 8 do not divide 36 evenly, thus are not applicable group sizes. Understanding divisibility is essential in determining how collections can be organized into equal parts.
Related Questions
View allThe cost of 3 identical cans of peaches at a store is $2.67. At this r...
School cafeteria workers want to know which is the students' favorite...
When rounding to the tenths place, which of the following numbers roun...
A right rectangular prism has length 5.0 centimeters, width 7.3 centim...
Consider the following statement. “Joe's age, in years, is four more t...
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
5003 Praxis Math Answers
Praxis 5003 Study Guide
Praxis Social Studies 5004
Praxis 5004 Social Studies
Praxis 5004 Social Studies Subtest Practice Test
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations