PRIME AND COMPOSITE NUMBERS

Slides:

Advertisements

Similar presentations

PRIME FACTORIZATION GCF & LCM

Advertisements

Prime and Composite Numbers

Use of Venn Diagrams to find the GCF and LCM

Section 5.1 Prime Factorization and Greatest Common Factor.

Prime and Composite Numbers, Prime Factorization, GCF & LCM.

6 th VOCABULARY Helpful resources: glossary in the back of the book

Least Common Multiple Objective: Finding Least Common Multiple (LCM)

GREATEST COMMON FACTOR

3.1 Factors and Multiples of Whole Numbers. A prime number A Composite number A factor of a Number Prime Factorization Greatest Common Factor Common Multiple.

Warm Up #1. We have 22 students in this class, how many ways could Ms. Fraser group everyone so that all the groups are equal? What if we had one more.

Used to find the LCM and GCF to help us add and subtract fractions.

Least Common Multiple (LCM) of

Multiples If a number divides exactly into another number, the second is a multiple of the first. Example 3, 6, 9, 12, 15, 18 10, 12, 14, 16, 18, 20 are.

Least Common Multiple (LCM)

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

Factors & Multiples Lesson 1 - Factors & GCF

4.3 Greatest Common Factors (GCF)

Mrs. Hubbard 6 th Grade Purple team.  LEQ: What is the purpose of exponential notation  LEQ: LEQ: How do I show the factor form of a number expressed.

Factors, Primes & Composite Numbers

Using Factor Trees to find the least common multiple (LCM)

Do Now Circle the prime numbers :

Finding the LCM (least common multiple) and GCF (greatest common factor)

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.

Lesson 10-1: Factors & Greatest Common Factor (GCF)

Chapter Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple?

Factoring using GCF interpret parts of an expressions such as terms, factors, and coefficient.

Greatest Common Factor Lesson 3-3. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Let’s find the.

Lesson #05 Prime Factorization Prime means: A # can only be divided by itself or 1 Example: 13 is prime cuz it’s only divisible evenly by 13 or 1 Factors:

Lesson 27Power Up EPage 188 Multiples Least Common Multiple Equivalent Division Problems.

Factors Prime Factors Multiples Common Factors and Highest Common Factor (HCF) Factors and Multiples Common Multiples and Lowest Common Multiple (LCM)

Lesson 1 Multiples and Factors At times you will be asked to determine the factors or multiples of various numbers in math problems in school and on the.

Please get out your Homework, and a pencil, and your notes journal. Please be ready as soon as the bell rings. If you have any questions please put them.

Greatest Common Factor Least Common Multiple Factorization.

Prime Factors Friday, 19 February 2016 Objective Write a number as a product of its prime factors. Find the HCF and LCM of two numbers.

Greatest Common Factor and Least Common Multiples GCF and LCM.

Least Common Multiples and Greatest Common Factors Lesson 4.3.

It starts exactly like GCF! LET’S MOVE ON TO LEAST COMMON MULTIPLE!

Slide Copyright © 2009 Pearson Education, Inc. 5.1 Number Theory.

Lesson 4-5 LCM: Least Common Multiple. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are.

Multiples, Factors and Primes. Multiples A multiple of a number is found by multiplying the number by any whole number. What are the first six multiples.

Number Theory: Prime and Composite Numbers

One is Special! Click to Play Primes, Factors, & Multiples Factor a whole number that divides into another whole number without remainder Product the.

Factors and Multiples of Whole Numbers Math 10 Ms. McGrath.

Greatest Common Factor (GCF) and Least Common Multiple (LCM)

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

Greatest Common Factor

Least Common Multiples and Greatest Common Factors

Positive Numbers and the Number Line

Prime Factorization: The prime factorization of a number is the product of all of the prime numbers that equals the number.

Positive Numbers and the Number Line

Finding the Least Common Multiple (LCM)

Greatest Common Factor and Least Common Multiples GCF and LCM

Prime Factorization Course

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)

Problem of the Day How many times was the world’s most-petted dog petted? Clue: Over a period of 8 years, Josh the Wonder Dog was petted by an average.

Prime Factors Objective

Finding the LCM and the GCF Using Prime Factorization

Greatest Common Factor

Least Common Multiples and Greatest Common Factors

Finding the Least Common Multiple (LCM)

Presentation transcript:

PRIME AND COMPOSITE NUMBERS LESSON 3

PRIME NUMBERS A Prime Number can be divided evenly only by 1, or itself. EXAMPLES: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

COMPOSITE NUMBERS A Composite Number can be divided evenly by numbers other than 1 or itself. EXAMPLES: 4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40

FACTORS A number may be made by multiplying two or more other numbers together. The numbers that are multiplied together are called factors. EXAMPLE:

FACTORS A number may be made by multiplying two or more other numbers together. The numbers that are multiplied together are called factors. EXAMPLE: 3 X 4 = 12 PRODUCT FACTOR FACTOR

FACTORS Therefore PRIME numbers have 2 factors: one and itself. COMPOSITE numbers have more than two factors. The number ONE only has one factor (1), therefore it is not prime nor composite but SPECIAL.

GCF GCF – GREATEST COMMON FACTOR The GCF is the highest factor that two or more numbers have in common. EXAMPLE: The factors of 18 are {1,2,3,6,9,18} The factors of 24 are {1,2,3,4,6,8,12,24}

GCF GCF – GREATEST COMMON FACTOR The GCF is the highest factor that two or more numbers have in common. EXAMPLE: The factors of 18 are {1,2,3,6,9,18} The factors of 24 are {1,2,3,4,6,8,12,24} The GCF is 6.

PRIME FACTORS Factors that are prime numbers. When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. EXAMPLE: the number 72 can be written as a product of primes as: 72 =2x2x2x3x3 . The expression "2x2x2x3x3" is said to be the prime factorization of 72.

TRY THIS ONE Find the PRIME factors of 32 SOLUTION:

TRY THIS ONE Find the PRIME factors of 32 SOLUTION: 32 4 x 8 2 x 2 x 2 x 2 x 2 = 25

LCM LCM – LOWEST COMMON MULTIPLE A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are: 0, 12, 24,….

LCM The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. EXAMPLE: Multiples of 3: 6,9,12,15,18,21,24,… Multiples of 4: 8,12,16,20,24,…. LCM of 3 and 4 is:

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. EXAMPLE: Multiples of 3: 6,9,12,15,18,21,24,… Multiples of 4: 8,12,16,20,24,…. LCM of 3 and 4 is: 12