(Abstract Algebra 1) Relatively Prime Integers
(Abstract Algebra 1) Relatively Prime Integers

Download presentation

Presentation is loading. Please wait.

Published byFrederick Stevenson Modified over 5 years ago

1
Prime Factorization Prime factorization is the long string of factors that is made up of all prime numbers.

2
Factor Tree A factor tree is a way to organize and help you determine the prime factorization of a number. Factor trees use branches to show how a number is broken down into prime numbers.

3
A power consists of two elements: the base and the exponent.

4
Base In an exponent expression, the base is the factor that is repeatedly multiplied.

5
Exponent The exponent of a power is the number of times the base is used as a factor of repeated multiplication.

6
Fundamental Theorem of Arithmetic
The Fundamental Theorem of Arithmetic states that every natural number is either prime or can be written as a unique product of primes.

7
Common Multiple A common multiple is a number that is a multiple of two or more numbers. Example: multiples of 60: 60, 120, 180, 240, 300, 360, 420, multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, some common multiples of 60 and 24: 120,

8
Least Common Multiple (LCM)
The least common multiple, or LCM, is the smallest multiple (other than zero) that two or more numbers have in common. Example: multiples of 60: 60, 120, 180, 240, 300, 360, 420, multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, some common multiples of 60 and 24: 120, least common multiple of 60 and 24: 120

9
A common factor is a number that is a factor of two or more numbers.
Example: factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 common factors of 60 and 24: 1, 2, 3, 4, 6, and 12

10
Greatest Common Factor (GCF)
The greatest common factor, or GCF, is the largest factor two or more numbers have in common. Example: factors of 16: 1, 2, 4, 8, 16 factors of 12: 1, 2, 3, 4, 6, 12 common factors: 1, 2, 4 greatest common factor: 4

11
Relatively Prime Numbers
Two numbers that do not have any common factors other than 1 are called relatively prime numbers. Examples: Positive whole number pairs that have a difference of 1 (4 and 5, 10 and 11, 15 and 16) are always relatively prime numbers.

12
Word definition

Similar presentations

© 2023 SlidePlayer.com Inc.
All rights reserved.

You are watching: Prime Factorization Prime factorization is the long string of factors that is made up of all prime numbers.. Info created by GBee English Center selection and synthesis along with other related topics.