What are factors and multiples?

Slides:



Advertisements
Similar presentations
Write this in your INTERACTIVE Notebook's table of contents!
Advertisements

Greatest common factors (gcf) & least common multiples (lcm)
PRIME FACTORIZATION GCF & LCM
Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.
Use of Venn Diagrams to find the GCF and LCM
Section 5.1 Prime Factorization and Greatest Common Factor.
Multiple A multiple of a number is the product of that number and any other whole number. Zero is a multiple of every number. What am I? Examples: 4: 8,
Greatest Common Factor
For Finding LCD, GCF and Simplifying Fractions
6 th VOCABULARY Helpful resources: glossary in the back of the book
GREATEST COMMON FACTOR
Least Common Multiple (LCM) of
Mrs. Walker 4th grade math
Greatest Common Factor and Least Common Multiples GCF and LCM
Greatest Common Factor Least Common Multiple and Lowest Terms
Prime Factorization (Factor Trees) Greatest Common Factor
4.3 Greatest Common Factors (GCF)
M FP & CComparingFill in.
Factors
5.1 Divisibility. Natural Numbers The set of natural numbers or counting numbers is {1,2,3,4,5,6,…}
Factors are numbers you can multiply together to get another number. Multiples are numbers that can be divided by another number without a remainder. Its.
Math Vocabulary Review You Can Do It!. What is a prime number?  A number that has only itself and one as its factors.  Which of the following numerals.
Chapter Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple?
Least Common Multiple Least Common Denominator
Notes 3.1 Least Common Multiples A multiple of a number is the product of the number and any whole number greater than zero. Of all the multiples of two.
Goal: Find the greatest common factor of two or more numbers.
REMEMBER: What is a factor? What are the factors of 24?
Greatest Common Factor Least Common Multiple Factorization.
Greatest Common Factor and Least Common Multiples GCF and LCM.
Least Common Multiples and Greatest Common Factors Lesson 4.3.
GCF / LCM Using Prime Factorization Tip to Remember: GCF should have a short string (only the shared factors) – factors are small LCM should have a long.
LESSON #8 LCM: Lowest Common Multiple. WHAT IS A MULTIPLE?  A multiple is what you get when you multiply by a number.  A multiple is a product of two.
Greatest Common Factor and Least Common Multiples GCF and LCM.
Copyright©amberpasillas2010 RULES FOR DIVISIBILITY #1 A Number Is Divisible By: IF The last digit is even (0, 2, 4, 6, 8) The last 2 digits.
FRACTIONS Fraction: a numerical quantity that is not a whole number Numerator: the number above the line in a common fraction showing how many of the parts.
Least Common Multiples
Topic #3: GCF and LCM What is the difference between a factor and a multiple? List all of the factors and the first 3 multiples of 6.
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
Confidential1 Exploring Fractions Review. Confidential2 Warm up! 1.25 x x x
Extra Lesson Greatest Common Factor and Least Common Multiple of Monomials Essential Question: How do you find the greatest common factor and least common.
PRIME FACTORIZATION Pg. 12. ESSENTIAL QUESTION HOW do you use equivalent rates in the real world?
Greatest Common Factor and Least Common Multiples GCF and LCM
Factors
Fraction Jeopardy LCM GCF $100 $200 $300 $400 $500 $600 $700 Add it up
Prime Factorization (Factor Trees) Greatest Common Factor
Least Common Multiples and Greatest Common Factors
For Finding LCM, GCF and Simplifying Fractions
Preview Warm Up California Standards Lesson Presentation.
STUDY GUIDE CORNELL- STYLE.
Bell Ringer 1. Find the LCM of 3 and 6 2. Find the GCF of 8 and 12.
Factors, Multiples, prime, & composite numbers, oh my!!
Prime Factorization: The prime factorization of a number is the product of all of the prime numbers that equals the number.
Fractions Adding Unlike Denominators
For Finding LCD, GCF and Simplifying Fractions
Greatest Common Factor
Lesson 4.1 How do you write the prime factorization of a number?
Greatest Common Factor and Least Common Multiples GCF and LCM
Greatest Common Factor and Least Common Multiple
L.C.M (Lowest Common Multiple) & G.C.F (Greatest Common Factor)
Greatest Common Factor and Least Common Multiples GCF and LCM
Greatest Common Factor (GCF)
Greatest Common Factor and Least common multiple
Fractions Adding Unlike Denominators
GCF and LCM.
Greatest Common Factor (GCF)
Finding the LCM and the GCF Using Prime Factorization
Greatest Common Factor
Least Common Multiples and Greatest Common Factors
For Finding LCD, GCF and Simplifying Fractions
Presentation transcript:

What are factors and multiples? LCM & GCF max 0≤𝑥≤1 𝑥 𝑒 − 𝑥 2 −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎 𝑥+𝑎 𝑛 = 𝑘=0 𝑛 𝑛 𝑘 𝑥 𝑘 𝑎 𝑛−𝑘

Multiple A multiple is the product of a given value and something else What are they? Factor A factor is a number that can be multiplied by something to get a given value Multiple A multiple is the product of a given value and something else

What Is LcM? LCM stands for least common multiple The least common multiple is the smallest number that two given numbers are both factors of Example: the least common multiple of 3 & 6 is 12; 3X4=12 and 6X2=12 **Sometimes the LCM can be found by multiplying the two factors together

What is GCF? GCF stands for greatest common factor The greatest common factor is the largest number that is a factor of one or more given values Example: the greatest common factor of 12 & 18 is 6 (6X2=12, 6X3=18) **Sometimes the greatest common factor is one of the given numbers

How to find lcm To find LCM: First, begin listing the multiples of the larger number from least to greatest (remember that the number its self is a multiple) Check each multiple (in numerical order) to see if the smaller number is a factor Once you find a number that both numbers are a factor of you have found your answer **This must be done in numerical order (least to greatest)

How to find gcf To find GCF: First, list all the factors of each number Order the sets of factors in numerical order (keep the sets separate) Circle all of the factors that the numbers have in common The greatest number is the GCF **Sometimes the GCF is one

Lcm & gcf practice LCM 1:If you are buying plates that come in packages of 4 and napkins that come in packages of 20 how many packages do you need to buy of each so that you will have the same number of each GCF 2:If you have 14 plates and 21 napkins for a party, what is the greatest number of people that you can invite so that everyone gets the same number of plates and napkins, and none are left over

Steps to solve Problem 2: Problem 1: You need to find the GCF of 14 & 21 The factors of 14 are: 1,2,7,14 The factors of 21 are: 1,3,7,21 The greatest common number is 7 7 is the GCF Problem 1: You need to find the LCM of 4 & 20 The first multiple of 20 is 20 Four is a factor of 20 20 is the LCM

Answers Problem 1: You will need 5 packages of plates and one package of napkins Problem 2: You can invite 7 people (everyone will receive 2 plates and 3 napkins)

Factor? Multiple? What is a factor? A: the product of two numbers B: a number that can only be divided equally by its self and one C: a number that can be multiplied by something to get a given value What is a multiple? A: a number that can be divided by more than two different numbers B: the product of a given value and something else C: a prime number greater than 2

Lcm? GCF? What is LCM? A: Least Common Multiple B: Largest Common Multiple C: Least Composite Multiple What is GCF A: Greatest Composite Factor B: Greatest Common Factor Greatest Common Fraction

Multiple choice answers Factor & Multiple LCM & GCF Factor: C (a number that can be multiplied by something else to get a given value Multiple: B (the product of a given value and something else LCM: A (least common multiple) GCF: B (greatest common factor

For additional practice http://www.math-aids.com/Factors/ http://www.math-play.com/Factors-and-Multiples-Jeopardy/Factors-and-Multiples-Jeopardy.html