Learn on PengiPengi Math (Grade 4)Chapter 5: Factors, Multiples, and Patterns

Lesson 1: Understanding Factors and Factor Pairs

In this Grade 4 lesson from Pengi Math Chapter 5, students learn to define factors as numbers multiplied together to get a product and find all factor pairs for whole numbers from 1 to 100. They practice using division with zero remainders to check whether one number is a factor of another, and apply the Associative Property to group factors and uncover new factor pairs.

Section 1

Defining Factors and Factor Pairs

Property

Factors are numbers that are multiplied together to get a product.
If a×b=ca \times b = c, then aa and bb are factors of cc.
The set (a,b)(a, b) is called a factor pair of cc.

Examples

Section 2

Identifying Factors with Division

Property

A number, bb, is a factor of another number, aa, if the division of aa by bb results in a remainder of 00.

Examples

Section 3

Finding New Factors with the Associative Property

Property

If a number is expressed as a product of factors, you can multiply those factors together in groups to find new factors. If N=a×b×cN = a \times b \times c, then the product (a×b)(a \times b) is also a factor of NN.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Defining Factors and Factor Pairs

Property

Factors are numbers that are multiplied together to get a product.
If a×b=ca \times b = c, then aa and bb are factors of cc.
The set (a,b)(a, b) is called a factor pair of cc.

Examples

Section 2

Identifying Factors with Division

Property

A number, bb, is a factor of another number, aa, if the division of aa by bb results in a remainder of 00.

Examples

Section 3

Finding New Factors with the Associative Property

Property

If a number is expressed as a product of factors, you can multiply those factors together in groups to find new factors. If N=a×b×cN = a \times b \times c, then the product (a×b)(a \times b) is also a factor of NN.

Examples