Math Problem Statement
Sort the number 11 into the correct category: Prime, Composite, or Neither.
Solution
The activity shown in the image involves sorting numbers into three categories: Prime, Composite, and Neither. Here is the classification for the number "11," which hasn't been placed yet:
Explanation:
- Prime numbers are greater than 1 and have only two distinct factors: 1 and the number itself.
- Composite numbers are greater than 1 and have more than two factors.
- Neither includes numbers like 0 and 1 since they are neither prime nor composite.
Analysis of 11:
- Factors of 11: 1 and 11 (only two factors).
- Conclusion: 11 is a prime number.
It should be placed under the Prime category.
Let me know if you have additional questions or need more clarification! Here are five related questions to expand your understanding:
- What are the rules to identify a composite number quickly?
- Why are 0 and 1 neither prime nor composite?
- Can a number be both prime and composite? Why or why not?
- What are some real-life applications of prime numbers?
- How can you find prime numbers in a large range of integers?
Tip: Memorizing prime numbers up to 100 can speed up classification activities!
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Math Problem Analysis
Mathematical Concepts
Number Theory
Prime Numbers
Composite Numbers
Formulas
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Theorems
Definition of Prime Numbers
Definition of Composite Numbers
Suitable Grade Level
Grades 5-7