Math Problem Statement

Sort the number 21 into the correct category: Prime, Composite, or Neither.

Solution

The task in the image is to sort numbers into the categories Prime, Composite, or Neither. The number 21 at the bottom needs to be categorized correctly. Here's the solution:

  • 21 is Composite, as it can be divided by 1, 3, 7, and 21 (more than two factors).

Would you like an explanation about how to determine whether a number is prime, composite, or neither? Let me know if you have more questions or want further examples.

Follow-up Questions:

  1. What are the properties of a prime number?
  2. How can we determine if a number is composite?
  3. Why is 1 considered "neither" prime nor composite?
  4. What are examples of prime numbers between 1 and 20?
  5. How does factorization help classify numbers into these categories?

Tip:

To determine if a number is prime, test its divisibility by all prime numbers less than or equal to its square root.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers

Formulas

None (concept-based classification)

Theorems

Basic properties of prime and composite numbers

Suitable Grade Level

Grades 5-7