Printable “Factors & Multiples” Worksheets:

Prime & Composite Numbers

Factors

Prime Factorization

Multiples

### Prime & Composite Numbers Worksheets

Prime and composite numbers are classifications based on their number of factors. Prime numbers have exactly two positive factors, while composite numbers have more than two positive factors.

Prime Numbers:

A prime number is a natural number greater than 1 that has exactly two distinct positive factors: 1 and itself.

In other words, a prime number cannot be evenly divided by any other numbers except 1 and itself.

Examples of prime numbers include 2, 3, 5, 7, 11, 13, 17, and so on.

Composite Numbers:

A composite number is a natural number greater than 1 that is not a prime number.

Composite numbers have more than two distinct positive factors.

Examples of composite numbers include 4, 6, 8, 9, 10, 12, 14, and so on.

Key Points:

Number 1:

The number 1 is neither prime nor composite because it has only one positive divisor (itself).

Even Numbers:

Except for 2, all other even numbers are composite since they are divisible by 2.

Multiplication:

Every whole number greater than 1 is either prime or can be expressed as a product of prime numbers (prime factorization).

Sieve of Eratosthenes:

The Sieve of Eratosthenes is a method to generate a list of prime numbers up to a certain limit.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Prime & Composite Numbers Worksheets**.

Have a look at this video if you need help on how to distinguish prime and composite numbers.

### More Prime & Composite Numbers Worksheets

**Printable**

(Answers on the second page.)

Prime & Composite Numbers Worksheet #1

Prime & Composite Numbers Worksheet #2

Prime & Composite Numbers Worksheet #3 (Sieve of Eratosthenes)

Prime Numbers Worksheet #1

Prime Numbers Worksheet #2

**Online**

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