## Grade 4 » Operations & Algebraic Thinking

**Gain familiarity with factors and multiples.**

*CCSS.Math.Content.4.OA.B.4*

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

**Teacher Notes**

A factor is a number that can be multiplied to obtain a product. A multiple is a product of two factors. Being fluent with finding factors and multiples will help students when working with fractions, applications of multiplication and division, and prime and composite numbers.

The vocabulary words factor and multiple are often confused. It takes multiple uses to master the difference. Students should be reminded throughout the year and given chances to use the terms in context.

Factors and multiples will be part of almost every lesson. Knowing the meaning, memorizing them, and learning how to manipulate them is one of the keys to success in Algebra.

Prime factorization is not exactly a standard, but it is decomposing numbers with multiplication, and it builds an understanding for multiplication and Algebra.

**Student Knowledge Goals**

I know multiplication and division facts through 10 (products to 100).

I know a factor is a number being multiplied.

I know a multiple is the product of two factors.

I understand that a product is a multiple of each of its factors.

I know a prime number has exactly two factors – one and itself.

I know a composite number has three or more factors.

I can identify a number that is a multiple of a given one digit number.

I can find all factor pairs for whole numbers in the range 1-100.

I can identify prime or composite numbers.

**Vocabulary**

composite

divide/division

factor

factor pairs

multiple

multiply/multiplication

prime

product

**Teacher Lessons**

Multiple Lessons 4.0A.B.4

**Student Video Lessons**

Prime and Composite Numbers

Multiples

Inverse Operations

Prime Factorization

Learn Zillion Video Lessons

**Online Problems, Games, and Assessments
**Khan Academy Questions and Video Lessons

Pan Balance Numbers – Balance equations

Factor Trail Game – Printable board game

Online Multiplication Games

Factor Tree

Factor Feeder

Factor Quiz I

Factor Quiz II

**Worksheets**

Multiplication & Division

Factors

Multiples