Factors (LCM, GCF) – SAT, SHSAT & BCA Test Prep

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This lesson reviews finding factors and prime factors and using prime factorizations to find the least common multiple (LCM) and greatest common factor (GCF) of several numbers. Additional focused video lessons and related exercises are available in the math toolbox.

TestPrepSHSAT
Khan Academy
Math is Fun

TestPrepSHSAT

Least Common Multiple

Binomial Factors

Binomial Factors

Welcome to the FACTORS instruction unit.

These instructional quizzes are short, limited to only about a dozen questions, and they are not graded or timed. Occasionally there will be a question introducing a topic that you are not expected to answer at first. Do not panic. The instructional material will likely be introduced in the following answer explanation. The purpose of these instructional modules is to review subject material by topic that you will likely encounter on the exam and provide some topic specific tips to improve your ability to solve related problems.

DO YOU KNOW HOW TO COUNT AND FIND YOUR FACTORS?

Yes

No

VIDEO TUTORIAL:

Factors - Introduction

Factors are numbers you multiply together to get another number. e.g.

2 x 3 = 6 2 and 3 are factors

What is the GCF or greatest common factor of 24 and 40?

Please enter a numeric value in the answer box and not any variation. e.g. '8' and NOT "eight' or '2 cubed', etc.

4

6

8

12

VIDEO TUTORIAL:

Greatest Common Factors - Prime Factor Method

What is the GCF or greatest common factor of 180, 225, and 270?

Please enter the numeric value and not any variation. e.g. '8' and NOT "eight' or '2 cubed', etc.

45

30

15

75

Complete the missing prime factorization of 180 below:

Prime Factorization_180

A=

B=

C=

Please enter the numeric value and not any variation. e.g. '8' and NOT "eight' or '2 cubed', etc.

Complete the missing prime factors of 225:

Prime Factorization_225

A= B=

Please enter the numeric value and not any variation. e.g. '8' and NOT "eight' or '2 cubed', etc.

What is the greatest common factor of 196 and 462?

14

7

21

28

VIDEO TUTORIAL:

Greatest Common Factors - Variables & Numerical Values

What is the greatest common factor of $16w{x^5}y$ and $24{w^3}{x^2}z$ ?

$48{w^3}{x^5}yz$

$16w{x^2}$

$8w{x^2}$

$8{w^2}{x^2}$

Henry is going to make grab bags for his birthday party. He counted out the pieces of candy and discovered that he had 180 pieces of lifesavers and 126 pieces of licorice. If he has no leftover candy, what is the greatest number of bags he can make for the party?

VIDEO TUTORIAL:

Counting Factors

How many factors exist for the whole number 196?

9

6

12

10

How many factors are there for 72?

2

4

6

9

12

VIDEO TUTORIAL:

Factor Counting & Divisibility

How many factors of 72 are divisible by 4?

2

4

6

9

12

How many factors of 144 are divisible by 12?

6

4

8

12

Khan Academy

Khan Academy (Factors, Primes)

Least Common Multiples

Approximately 15 minutes video.

Greatest Common Factor

Approximately 15 minutes video.

LCM and GCF Word Problems

Approximately 10 minutes in several videos.

Factoring Simple Expressions

Approximately 15 minutes in several videos.

Multiplying Binomials

Approximately 15 minutes in several videos.

Factoring Quadratics

Approximately 15 minutes in several videos.

Differences of Squares

Approximately 15 minutes in several videos.

Factoring By Grouping (Co-efficient<>1)

Approximately 15 minutes in several videos.

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Math is Fun

Math Is Fun (Factors, Primes)

Greatest Common Factors

Least Common Multiple

Differences of Two Squares

Factoring in Algebra

Factoring Quadratics

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