Can 1 be a prime number?

No, 1 is not considered a prime number because it only has one positive divisor, itself, and prime numbers require exactly two distinct positive divisors.

What are some examples of prime numbers?

Examples of prime numbers include 2, 3, 5, 7, and 11—numbers that are divisible only by 1 and themselves.

Why are prime numbers important?

Prime numbers are the building blocks of all natural numbers since every number can be uniquely expressed as a product of prime numbers.

What Is a Prime Number? Definition and Examples Explained

Learn the definition of a prime number with clear examples like 2, 3, 5, and 7. Understand why prime numbers are fundamental in mathematics.

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Sep 22, 2026

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In simpler terms, it can only be divided by 1 and itself without leaving a remainder. Examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are the building blocks of all natural numbers, as every number can be factored down to a unique set of prime numbers.

FAQs & Answers

What is a prime number? A prime number is a natural number greater than 1 that can only be divided by 1 and itself without leaving a remainder.
Can 1 be a prime number? No, 1 is not considered a prime number because it only has one positive divisor, itself, and prime numbers require exactly two distinct positive divisors.
What are some examples of prime numbers? Examples of prime numbers include 2, 3, 5, 7, and 11—numbers that are divisible only by 1 and themselves.
Why are prime numbers important? Prime numbers are the building blocks of all natural numbers since every number can be uniquely expressed as a product of prime numbers.

Watch More

For a deeper understanding of prime numbers and their role in mathematics, check out related videos on prime factorization, the Sieve of Eratosthenes, and the properties of composite numbers.

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