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

Prime Or Composite

Students determine whether a number is prime or composite. They identify all the whole number factors of a composite number. Pupils explore and use divisibility rules. Students use strategies to determine prime and composite numbers and to arrange a composite number's factors in a rainbow pattern.

Number Theory

Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these topics as well.

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.

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.

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 and Products Games

In this prime numbers worksheet, students learn to use the Sieve of Eratosthenes to find all the prime numbers from 1 to 100.

Finding Prime

Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and conclude that there is only one possible factor pair.

Prime Time

Young scholars solve problems from a New York Times math quiz related to an article about mathematician Dr. Terence Tao. They then prepare their own math quizzes for which solutions must be expressed in prime numbers. Finally, they consider how they use math in their daily lives, and prepare math problems based on one of their findings.

Factors, Prime Factorization, Multiples

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

What's a Prime Number?

What is a prime number? Is zero a prime number? Is one a prime number? No?! Is two a prime number? Yes. So what is the definition of a prime number? A prime number is a number that can only be divided by 1 and itself. Watch this short video to get a thorough explanation.

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