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Definition of Prime Number

Definition: A prime number is any number whose only factors are 1 and itself.

Contrast composite numbers with composite numbers.

Some often-confused facts about prime numbers

  • $$ 0 $$ (zero) is not a prime a number.
  • $$ 1 $$ is also not a prime number. Although the definition of a prime number seems to apply to 1, you have to count 1 twice -- sorry no 'double dipping' for prime numbers. 1 is not prime.
  • $$ 2 $$ . The number two, $$ 2$$, is the only even number that is prime, because all of the other even prime numbers are multiples of 2 and therefore violate the definition of a prime number (only divisible by 1 and itself).
  • Read more about how to determine if a number is prime.

Examples of prime numbers

  • 2 is prime because its only factors are 1 and 2 (2 is the only even prime number).
  • 5 is prime because its only factors are 1 and 5.
  • 7 is prime because its only factors are 1 and 7.

NON Examples of prime numbers

  • 6 is not prime because its factors are factors are 1 ,2, 3, 6.
  • 51 is not prime because its factors are factors are 1 , 3 , 17, 51.

Facts about Primes

prime factors of cicadas life cycle

More interesting math facts here

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