Prime Numbers and Prime Factorization

7th - 10th

Clarify prime numbers, composite numbers, and prime factorization with this worksheet. After looking over definitions, working through prime numbers, and making composite numbers, learners are introduced to prime factorization and the Sieve of Eratosthenes. This resource includes a homework assignment in which mathematicians respond to 7 short answer questions that ask them to solve, identify, and explain mathematical concepts in their own words.

Resource Details

The Language of Mathematics - Prime Numbers

In this recognizing prime numbers worksheet, students complete a list of the first ten prime numbers, use a hundreds chart to identify the prime numbers, and solve word problems. Students solve 11 problems.

Prime Numbers

In this prime numbers worksheet, students read facts and complete comprehension activities. In this graph construction and drawing worksheet, students complete two activities.

Prime Time

Fourth graders play a game with red and green cards (composite and prime numbers). As a card is drawn students create all possible arrays. The winner of each round is the person with the most arrays. Students discuss their results, and define the terms prime and composite.

Prime Time

Fourth graders define prime numbers and examine which numbers are prime numbers. They access prior knowledge to show multiples in an array. Pupils play a game to determine which numbers are prime numbers.

Numbers in a Multiplication Table

Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity properties of multiplication. A great resource for strengthening number sense and fluency with multiplication. 

Eratosthenes' Sieve ~ Prime Numbers Up To 100

On this Eratosthenes' Sieve assignment, math whizzes study, examine and discuss the six directives that show this method for finding prime numbers.

Composite and Prime Numbers

Young math whizzes determine if a number is prime or composite. They use counters to participate in activities that show prime and composite numbers.

Eratosthenes' Sieve ~ Prime Numbers Up To 200

Mathematicians review, analyze, and study the seven steps that Eratosthenes' Sieve gives as a method for finding prime numbers.

Prime Numbers and Factors

Solving factor trees is a helpful way to introduce prime numbers. Your math class practices using this method along with two-column tables to find if a number is prime or not. They also learn other vocabulary, such as composite numbers, that help them understand the concept of prime numbers.

Factors, Prime Factorization, Multiples

Seventh graders examine Prime Factorizations, Multiples, and Factors. In this prime number, factorization, and multiples instructional activity, 7th graders identify greatest common factors and least common multiples. Students use problem solving skills to explore prime numbers, multiples and factorization.

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