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# What Are Prime and Composite Numbers?

A prime number is a whole number greater than one that is only divisible by one or itself without leaving a remainder. A composite number is a whole number greater than one that is evenly divisible by more than one and itself.

Continue ReadingExamples of prime numbers include 11, 13, 29, 61 and 67. Each of these numbers is only divisible by one and itself without remainders. Examples of composite numbers include 12, 14, 28, 68 and 70. Each of these numbers has more divisors than one and itself that do not leave remainders.

One is not considered a prime or composite number. Fractions are not included when discussing prime and composite numbers because the focus is on whole numbers exclusively. Prime and composite numbers are considered to be a part of the fundamental theorem of arithmetic.

The fundamental theorem of arithmetic, or unique-prime-factorization theorem, says that all whole positive numbers greater than one are either prime numbers or the product of prime numbers. Many composite numbers are often factored down to their prime number factors to aid in solving problems. It is because of this that prime numbers are generally considered to be the basic building blocks of positive numbers.

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Q:
## What Is a Prime Factor in Mathematics?

A: Prime numbers that, when multiplied, equal another number are said to be the “prime factors” of that number. For example, 2 and 7 are the prime factors of ... Full Answer >Filed Under: -
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## What Is the Prime Factorization of 24?

A: The prime factorization of 24 is 2 x 2 x 2 x 3. Thus, the number 24 has only 2 prime factors, 2 and 3. Prime factors of 24 are numbers that divide 24 exact... Full Answer >Filed Under: -
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## What Is a List of Odd Numbers?

A: A list of odd numbers is a list of numbers that all have a remainder of 1 when divided by 2. The following is an example of a list of odd numbers: 1, 3, 5,... Full Answer >Filed Under: -
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## Is the Number 1 Prime or Composite?

A: The number one is neither prime nor composite. Prime numbers are positive integers greater than one that are evenly divisible only by themselves and one. C... Full Answer >Filed Under: