Math Problem Statement

Classify the number 10 as 'Prime,' 'Composite,' or 'Neither.'

Solution

This image presents a question asking to classify the number 10 as "Prime," "Composite," or "Neither." Here's the analysis:

  • Prime numbers are numbers greater than 1 with only two divisors: 1 and themselves.
  • Composite numbers are numbers greater than 1 that have more than two divisors.
  • Neither refers to numbers like 1 or negative numbers, which are not considered prime or composite.

Classification:

The number 10 is a composite number because its divisors are 1, 2, 5, and 10 (more than two divisors). Therefore, the correct classification is Composite.

Would you like more examples of prime and composite numbers, or help with understanding divisors?

Here are 5 relative questions for deeper exploration:

  1. What are the first five prime numbers, and why are they classified as prime?
  2. How can you quickly identify if a number is composite?
  3. Are all even numbers composite? Explain your reasoning.
  4. Can a composite number ever be a prime number? Why or why not?
  5. How does the classification of 1 differ from that of prime or composite numbers?

Tip: A quick way to check if a number is composite is to see if it has divisors other than 1 and itself!

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6