Math Problem Statement

Which type of number is 27?

Solution

The question in the image asks: "Which type of number is 27?" The options provided are:

  • Prime
  • Composite
  • Neither

Solution:

The number 27 is composite, as it has divisors other than 1 and itself. Specifically, it is divisible by:

  • 1×271 \times 27
  • 3×93 \times 9

Since it has divisors (3 and 9) besides 1 and 27, it is not prime. Thus, the correct answer is Composite.

Let me know if you'd like further explanation or have any questions! Here are 5 related questions you might explore to expand your understanding:

  1. What are the properties of a prime number?
  2. How do you determine if a number is composite?
  3. Can composite numbers be odd? If yes, give examples.
  4. What is the difference between prime and composite numbers?
  5. What are some real-world applications of identifying prime and composite numbers?

Tip: Always test divisibility for smaller prime numbers (2, 3, 5, etc.) to quickly determine if a number is composite.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers

Formulas

Divisibility Rules
Prime and Composite Definitions

Theorems

Definition of Prime and Composite Numbers

Suitable Grade Level

Grades 4-6