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:
- Prime Numbers: A prime number has exactly two distinct positive divisors, 1 and itself. Examples include 11 and 13.
- Composite Numbers: A composite number has more than two distinct positive divisors. Examples include 10 and 12.
- 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:
- What is the definition of a prime number in terms of divisors?
- Can negative numbers be considered prime or composite?
- Why are 0 and 1 categorized as "Neither"?
- What are the first 10 prime numbers?
- 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