Math Problem Statement
Sort the number 16 into Prime, Composite, or Neither.
Solution
The number shown is 16. Let’s determine which category it belongs to:
- Prime: A prime number has only two distinct factors: 1 and itself.
- Composite: A composite number has more than two distinct factors.
- Neither: This applies to 0 and 1, which are neither prime nor composite.
Analysis of 16:
- Factors of 16: 1, 2, 4, 8, 16.
- Since it has more than two factors, 16 is a composite number.
You would sort 16 into the Composite category.
Do you want further clarification or have any additional questions?
Related Questions:
- What are the factors of other composite numbers like 18 or 20?
- How do you determine if a large number is prime?
- What are the smallest prime and composite numbers?
- Can a composite number ever become prime under special conditions?
- What distinguishes "neither" numbers like 0 and 1?
Tip:
To quickly determine if a number is composite, check if it has divisors other than 1 and itself.
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Math Problem Analysis
Mathematical Concepts
Prime and Composite Numbers
Factors
Formulas
Definition of Prime Numbers: A number greater than 1 with only two factors (1 and itself).
Theorems
Fundamental Theorem of Arithmetic: Every number greater than 1 is either prime or composite.
Suitable Grade Level
Grades 5-7