What is a prime number?

3 Answers
May 15, 2017

Prime numbers aren't divisible by anything except 1 and itself, composite numbers are all real numbers that aren't prime.

Explanation:

Prime numbers are divisible only by 1 and itself, i.e. no whole numbers except 1 and itself can be multiplied to yield that number. Composite numbers have more than one set of whole number factors, such as 4, 6, 8, 9, etc.

May 15, 2017

See explanation...

Explanation:

An integer is a unit if it is #+-1#.

If a number #n# is expressible as #p*q# where neither #p# nor #q# is a unit, then it is called a composite number.

If a number #n# is neither a unit nor a composite number, then it is called a prime number.

So a positive integer (apart from #1#) is prime if it has no positive factors apart from #1# and itself. Otherwise it is composite.

May 16, 2017

Prime = Only two factors (#1,"itself"#)
Composite = Has more than two factors

Explanation:

See answer.