Math Problem Statement

Sort the number 14 into the correct category: Prime, Composite, or Neither.

Solution

The problem shown in the image requires sorting the number 14 into one of the three categories: Prime, Composite, or Neither.

Solution:

  1. Prime Numbers: A prime number has exactly two distinct positive divisors, 1 and itself. Examples include 11 and 13.
  2. Composite Numbers: A composite number has more than two distinct positive divisors. Examples include 10 and 12.
  3. Neither: This category is for numbers like 0 and 1, which are neither prime nor composite.

For 14:

  • The divisors of 14 are 1, 2, 7, and 14.
  • Since it has more than two divisors, it is a Composite Number.

Final Answer:

Place 14 in the Composite category.

Would you like further clarification or details? Here are five related questions to expand your understanding:

  1. What is the definition of a prime number in terms of divisors?
  2. Can negative numbers be considered prime or composite?
  3. Why are 0 and 1 categorized as "Neither"?
  4. What are the first 10 prime numbers?
  5. How do you quickly check if a number is composite?

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

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Math Problem Analysis

Mathematical Concepts

Prime Numbers
Composite Numbers
Divisors

Formulas

Divisors of a number

Theorems

Definition of prime numbers and composite numbers

Suitable Grade Level

Grades 4-6