Math Problem Statement

Sort the number 16 as Prime, Composite, or Neither.

Solution

From the screenshot, the question asks to categorize the number "16" as Prime, Composite, or Neither.

Analysis:

  • Prime Number: A number greater than 1 with exactly two distinct factors: 1 and itself.
  • Composite Number: A number greater than 1 that has more than two distinct factors.
  • Neither: Numbers like 0, 1, or negative numbers which do not fall into the above categories.

Conclusion:

The number 16 is a composite number because it has multiple factors: 1, 2, 4, 8, and 16.

Would you like further details or explanation? Here are five related questions for expansion:

  1. How do we determine the factors of a number?
  2. What are some examples of prime numbers?
  3. Why are 0 and 1 considered "neither" prime nor composite?
  4. How do prime and composite numbers relate to real-world applications?
  5. Can you explain the concept of prime factorization for composite numbers?

Tip: To determine if a number is composite, check if it can be divided evenly by numbers other than 1 and itself.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers

Formulas

Definition of Prime Numbers: Numbers with exactly two factors (1 and itself).
Definition of Composite Numbers: Numbers with more than two factors.

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 4-6