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Activity Discussion Math What do you mean by a prime number?

• # What do you mean by a prime number?

Posted by on June 23, 2021 at 9:37 pm

What do you mean by a prime number? What are their special properties?

replied 3 months, 1 week ago 3 Members · 3 Replies
• 3 Replies
• ### Prince

Member
June 19, 2023 at 8:32 pm
1

A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself. In other words, it is a number that cannot be divided evenly by any other number except 1 and itself, without leaving a remainder.

Here are a few examples of prime numbers:

• 2 is the smallest prime number.
• 3, 5, 7, and 11 are prime numbers.
• 13, 17, 19, and 23 are also prime numbers.
• ### Bindhu

Member
June 18, 2023 at 3:49 pm
0

They have two factors, which are 1 and the number itself.<div>Special properties: </div>

1. The only even prime number is 2.

2. All numbers can be expressed as the product of prime numbers.

• ### Bindhu

Member
June 18, 2023 at 4:17 pm
0

They have two factors, which are 1 and the number itself.

Special properties:

1. The only even prime number is 2.

2. All numbers can be expressed as the product of prime numbers.

3. Writing a number as a product of prime numbers is called a prime factorization of the number.

Example: 34866 = 2 * 3 * 3 * 13 * 149

4. Primes are central in number theory because of the fundamental theorem of arithmetic. The theorem states that ” Every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order”.

5 A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

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