prime number
A prime number is a positive integer greater than 1 that can only be divided evenly by 1 and itself
A prime number is a positive integer greater than 1 that can only be divided evenly by 1 and itself. In other words, a prime number has only two distinct positive divisors. For example, 2, 3, 5, 7, 11, and 13 are all prime numbers.
Some key points about prime numbers include:
1. Prime numbers have no other factors except for 1 and themselves.
2. The number 1 is not considered a prime number since it only has one divisor.
3. Every positive integer greater than 1 can be uniquely expressed as a product of prime numbers, known as the fundamental theorem of arithmetic.
4. Prime numbers are used in various fields such as cryptography, number theory, and computer science.
To determine if a number is prime, the most common method is to check if it is divisible by any numbers other than 1 and itself. This can be done by dividing the number by all integers from 2 up to the square root of the number (since factors always come in pairs, so testing up to the square root is sufficient). If no divisors are found, the number is prime.
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