Math Problem Statement

A prime number is an integer greater than 1 and whose only positive divisors are one and itself.

Solution

Yes, that's correct! A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be divided exactly by any integer other than 1 and the number itself without leaving a remainder.

For example:

  • 2 is a prime number because its only divisors are 1 and 2.
  • 3 is a prime number because its only divisors are 1 and 3.
  • 4 is not a prime number because it can be divided by 1, 2, and 4.

Would you like more details or examples about prime numbers?

Here are five related questions to deepen your understanding:

  1. What is the smallest prime number?
  2. How can we prove that there are infinitely many prime numbers?
  3. How do we find prime numbers within a given range?
  4. What is the difference between prime numbers and composite numbers?
  5. How can prime numbers be used in cryptography?

Tip: Every integer greater than 1 is either a prime number or can be factored into prime numbers. This is called the Fundamental Theorem of Arithmetic.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers

Formulas

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Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 4-6