Math Problem Statement
Sort the numbers into the categories of Prime, Composite, or Neither based on their properties.
Solution
Based on the image provided, this is a sorting activity to classify numbers as Prime, Composite, or Neither. Here’s how the numbers should be categorized:
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Prime numbers:
- These have only two distinct positive divisors: 1 and the number itself.
- Example: (already correctly placed in the Prime section) and should also be moved here.
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Composite numbers:
- These have more than two divisors.
- Examples: and are correctly placed in the Composite section.
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Neither category:
- The only numbers in this category are and , as they are neither prime nor composite.
For this activity, the number should be moved to the Prime category.
Do you have any questions or need further clarification?
5 Related Questions:
- What is the difference between prime and composite numbers?
- Why are and considered neither prime nor composite?
- Can a composite number ever become a prime number?
- Are there any patterns in how prime numbers are distributed?
- How can you quickly check if a number is prime or composite?
Tip:
To test if a number is prime, check divisibility only up to its square root. For example, for , check divisors up to , which is approximately . If no divisors other than and are found, it is prime.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Prime Numbers
Composite Numbers
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6