Understanding Prime Numbers: Their Logic Explained
Learn the logic behind prime numbers, their properties, and how to identify them with ease.
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Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. For example, 2, 3, 5, 7, and 11 are prime because their only divisors are 1 and the number itself. To determine if a number is prime, check divisibility by all integers up to its square root. If none divide evenly (other than 1 and the number), it's prime.
FAQs & Answers
- What are the first few prime numbers? The first few prime numbers are 2, 3, 5, 7, 11, and 13.
- How do you determine if a number is prime? To check if a number is prime, test its divisibility by all integers up to its square root.
- Why is 2 considered a prime number? 2 is the only even prime number because its only divisors are 1 and itself.
- What are composite numbers? Composite numbers are natural numbers greater than 1 that have more than two positive divisors.