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You are here: HomeBlue Series → Factors & Factoring

Math Mammoth Factors & Factoring

Math Mammoth Factors & Factoring math book cover
61 pages
(includes answers)

Sample pages (PDF)
Contents
Divisibility Rules
Finding Factors
Sieve of Eratosthenes and Prime Factorization


Prices & ordering

PDF download USD $3.70

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You will be purchasing the downloads from my authorized reseller Comecero, LLC.

Printed copy $7.80

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Math Mammoth Factors & Factoring is a worktext that covers typical number theory topics for upper elementary school: divisibility rules, finding factors of a given number, prime numbers, prime factorization, the greatest common factor, and the least common multiple. These topics are usually covered in grades 4-6.

The book starts out with 4th grade topics: the concept of divisibility and divisibility rules, and teaching the terms factor, divisor, multiple, and product. The next lesson brings out the concept of a prime number as one that is only divisible by 1 and by itself. Armed with the knowledge about divisibility, students now learn how to find factors of a given two-digit number.

The following lesson is a review lesson about factors, primes, and divisibility rules, originally intended for beginning of 5th grade. You can use it as a review of the first four lessons of this book, or for students that have some knowledge of these topics already.

The next two lessons delve into prime factorization using a factor tree. The first lesson on the topic only uses two-digit numbers. In the latter, students are introduced the sieve of Eratosthenes and they factorize three-digit and larger numbers.

The last topics in the book are the greatest common factor (GCF), the least common multiple (LCM), and factoring sums, intended mainly for 6th grade. Factoring sums means writing a sum such as 42 + 18 as 6(7 + 3). We first find a common factor of 42 and 18 (which is 6), and use that to factorize the sum. The lesson only deals with numeric examples, but it is actually preparing students for algebra, where the same process is done with variables; for example x2 + 2x is factored as x(x + 2).

The book ends in a review lesson. Answers are appended.

You can find videos for the lessons in this book on this page:

https://www.mathmammoth.com/videos/division_factors#factors

The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.


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You can buy Math Mammoth books at:

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  • At Teachers Pay Teachers you can purchase the Light Blue Series downloads, plus topical units.
  • Lulu sells printed copies for most of the Math Mammoth materials (various series).

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.


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