Math Problem Statement

Sort each number (16 and 17) into Prime, Composite, or Neither.

Solution

This exercise is asking you to classify numbers into "Prime," "Composite," or "Neither." Here's how to sort the given numbers:

  • 16: This is a composite number because it has more than two factors: 1, 2, 4, 8, and 16.
  • 17: This is a prime number because it has only two factors: 1 and 17.

So:

  • Place 16 under "Composite."
  • Place 17 under "Prime."

Would you like more details on prime, composite, and neither numbers? Here are 5 related questions to explore further:

  1. What are some examples of numbers classified as "neither" prime nor composite?
  2. Can negative numbers be prime or composite?
  3. How do you quickly check if a large number is prime or composite?
  4. Why is the number 1 considered neither prime nor composite?
  5. Can fractions or decimals be prime or composite?

Tip: When in doubt, list all the factors of the number to determine its classification!

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Math Problem Analysis

Mathematical Concepts

Prime Numbers
Composite Numbers
Number Theory

Formulas

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

Theorems

Fundamental Theorem of Arithmetic: Every integer greater than 1 is either a prime number or can be uniquely factored into prime numbers

Suitable Grade Level

Grades 4-6