What are factors? What makes a number prime or composite?

Slides:

Advertisements

Similar presentations

12 I chose this number because it gives me a lot of ideas in how factors work because number 12 is the first number that comes to my mind in factors.

Advertisements

LESSON 4-1 DIVISIBILITY.

A number is divisible by another number if the quotient is a whole number with no remainder.

Addition Subtraction Multiplication Division

Whole Numbers How do we use whole numbers to solve real-life problems?

ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGERS By : Katie Kurth and Kateylnn Everhart.

division algorithm Before we study divisibility, we must remember the division algorithm. r dividend = (divisor ⋅ quotient) + remainder.

My special number Why I chose this number I chose this number because number 4 means death in china and I would have chosen 4 but I had to chose.

Highest Common Factors And Least common multiple

Chapter 5 Number Theory © 2008 Pearson Addison-Wesley. All rights reserved.

 2012 Pearson Education, Inc. Slide Chapter 5 Number Theory.

SECTION 5-3 Selected Topics from Number Theory Slide

Greatest Common Factor

Factors, Primes & Composite Numbers

SWBAT to use divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Prime Factorization Factors & Divisibility.

Make sure yours is correct BEFORE you glue!!. any of the numbers that are added together a step by step solution to a problem the answer to a subtraction.

Multiply and Divide Integers

Integers 7th Grade Math.

Factors, Primes & Composite Numbers 6 th grade math.

Factors and Primes by 2July. Definition Product – the answer to a multiplication problem. 5 x 6 = 30 Product.

Copyright © Cengage Learning. All rights reserved. 1.5 Prime Factorization.

Positive and Negative numbers. Negative numbers A positive or negative whole number, including zero, is called an integer. For example, –3 is an integer.

Factors, Primes & Composite Numbers by Ms. Green.

In the Real World Dancers A dance teacher is planning a dance for a show. The dancers will be arranged in rows with the same number of dancers in each.

4-6 Mixed Numbers and Improper Fractions Warm Up Order the fractions from least to greatest __ __ __, 5.

Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.

Definitions Add & Subtract Multiply & Divide ExponentsMixed.

N UMBER T HEORY AND F RACTIONS R EVIEW. N UMBER T HEORY Prime Number- A whole number that can only be divided by 1 and itself Ex. 2,3,5,7,11,13… Composite.

Factors and Prime Factorization

Lesson 9 Power Up BPage 54 Prime Numbers. A counting number greater than 1, has exactly two factors (the number itself and 1) 2, 3, 5, 7, 11, 13, 17,

4-1 Divisibility Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Prime Numbers and composite numbers

Goal: use division to generate mixed numbers and improper fractions.

My Special Number 11 My Special Number 11 A presentation by: Emma Phillips 6 th Grade, Ms. Maggie Daly A presentation by: Emma Phillips 6 th Grade, Ms.

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.

Decomposing a Number into Prime Factors. Learning Goals We will use our divisibility rules so that we can decompose numbers into prime factors. We’ll.

Factors, Primes & Composite Numbers Chapter 4.1. Definition  Product – An answer to a multiplication problem. 7 x 8 = 56 Product.

Learn to use divisibility rules. 4.1 Divisibility.

Interesting Integers – Part Dos

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Operations with Integers

Integer Rules Memorize the Rules.

Addition Subtraction Multiplication Division

Multiplying and Dividing Fractions

Addition Subtraction Multiplication Division

Solving Two step equations

Prime and Composite.

Negative Numbers.

Addition Subtraction Multiplication Division

Prime Factorization.

Decimal Operations.

FOUR RULES OF WHOLE NUMBERS

Unit 1. Day 7..

Addition Subtraction Multiplication Division

Math Vocabulary Part 1.

Prime Factorization.

Factors, Primes & Composite Numbers

Addition Subtraction Multiplication Division

Review of Integers and Solving Equations

Factors, Primes & Composite Numbers

Quotient: is the answer to dividing

Prime and Composite.

Factors, Primes & Composite Numbers

Factors, Primes & Composite Numbers

Presentation transcript:

What are factors? What makes a number prime or composite?

Some things to remember before we start: A sum is the answer to an addition problem. A difference is the answer to a subtraction problem. A product is the answer to a multiplication problem. A quotient is the answer to a division problem. A whole number is an integer, or a “counting number”. 13 is a whole number. 13 ½ is not.

Factors A factor is one of two or more whole numbers that are multiplied to get a product. For example, 3 and 8 are both factors of 24 because 3 times 8 is 24. Can you list all the factors of 24? Can you list all the factor pairs of 18?

Factors (cont.) Another name for a factor is a divisor. There are rules that can help you decide if a number is divisible by certain numbers. These are called divisibility rules. Here are a few:file://localhost/Users/thara valdes/Desktop/Back to School:First Week/Some Divisibility Rules.docxfile://localhost/Users/thara valdes/Desktop/Back to School:First Week/Some Divisibility Rules.docx Is 105 divisible by 2? By 3? By 5? By 10? Is 60 divisible by 2? By 3? By 5? By 10?

Prime Numbers If a number only has two factors, 1 and the number itself, the number is a prime number. Is 13 prime? Explain. Is 9 prime? Explain. Why isn’t 1 a prime number? Here is a list of the first 1000 prime numbers:

Composite Numbers If a number has more than two factors, it is a composite number. Explain why 14 is a composite number.

Proper Factors The proper factors of a number are all of the factors of the number, EXCEPT for the number itself. Ex: The proper factors of 12 are 1, 2, 3, 4, and 6. What are the proper factors of 20? The sum of the proper factors of a number may be greater than, less than, or equal to the number. This idea is used to classify numbers as abundant, deficient, or perfect.

Proper factors (cont.) A number is abundant if the sum of all its proper factors is greater than the number itself. 24 is abundant because its proper factors, 1, 2, 3, 4, 6, 8, and 12 add to 36, which is greater than 24. A number is deficient if the sum of its proper factors is less than the number itself. 14 is deficient because its proper factors, 1, 2, and 7 add to 10, which is less than 14. ALL prime numbers are deficient. A number is perfect if the sum of its proper factors is equal to the number itself. 6 is a perfect number because its proper factors, 1, 2, and 3 add up to 6.