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:

  1. What are the factors of other composite numbers like 18 or 20?
  2. How do you determine if a large number is prime?
  3. What are the smallest prime and composite numbers?
  4. Can a composite number ever become prime under special conditions?
  5. 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