Arithmetic dynamics | Perfect numbers | Divisor function | Integer sequences
In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is called k-perfect (or k-fold perfect) if and only if the sum of all positive divisors of n (the divisor function, Ο(n)) is equal to kn; a number is thus perfect if and only if it is 2-perfect. A number that is k-perfect for a certain k is called a multiply perfect number. As of 2014, k-perfect numbers are known for each value of k up to 11. It is unknown whether there are any odd multiply perfect numbers other than 1. The first few multiply perfect numbers are: 1, 6, 28, 120, 496, 672, 8128, 30240, 32760, 523776, 2178540, 23569920, 33550336, 45532800, 142990848, 459818240, ... (sequence in the OEIS). (Wikipedia).
Tutorial - How do we multiply complex numbers
http://www.freemathvideos.com In this video playlist you will learn everything you need to know with complex and imaginary numbers
From playlist Complex Numbers
How to multiply a two digit whole number by a three digit whole number
π You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. πSUB
From playlist Integer Operations
Use Prime Factorization to Simplify the Square Root of a Number, sqrt(32)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Perfect Numbers and Euler's Theorem
A perfect number is a number that equals the sum of its proper factors. How can we find them?
From playlist Math Play
Pre-Calculus - Multiplying complex numbers (root(14)+root(10) i) (root(14)-root(10) i)
http://www.freemathvideos.com In this math tutorial I will show you how to multiply complex numbers. Complex numbers come in the form of a +bi. Multiplying complex numbers carry some of the same properties as multiplying polynomials. However when simplifying we will notice some differences
From playlist Complex Numbers
How to take the square root of a number using prime factorization, sqrt(64)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Explain how to take the root of a number even or odd using prime factorization, root
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
The Quick and Easy Way to Simplify the Square Root of a Number, Sqrt(84)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Factoring Polynomials Completely - All Types (100 Problems & Free Worksheet)
Learn how to factor polynomials completely in this video math tutorial by Mario's Math Tutoring. We will be going through 100 factoring problems including greatest common factor, difference of 2 squares, sum and difference of 2 cubes, perfect square trinomials, trinomials with leading coe
From playlist Factoring - All Different Types
MATH1081 Discrete Maths: Chapter 3 Question 29
Here we show there exists a perfect number. Presented by Peter Brown of the School of Mathematics and Statistics, Faculty of Science, UNSW.
From playlist MATH1081 Discrete Mathematics
How to Simplify Radicals (NancyPi)
MIT grad shows how to simplify radical expressions, specifically square root expressions, into their simplest form ("Simplified Radical Form" or "SRF Form"). To skip ahead: 1) for a PERFECT SQUARE under the root like sqrt(16) skip to time 1:29. 2) for a SMALL number under the root that is
From playlist Algebra
How do you factor a perfect square trinomial
πLearn how to factor perfect square trinomials. Perfect square trinomials are formed when binomials are multiplied by themselves. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. Factoring perfect squa
From playlist Factor Quadratic Expressions | Perfect Square
Simplifying the Square Root of a Number Using a Factor Tree, Sqrt(80)
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Perfect Number Proof - Numberphile
This video follows on from: http://youtu.be/T0xKHwQH-4I More links & stuff in full description below βββ Objectivity: https://www.youtube.com/c/objectivityvideos Mersenne Primes and Perfect Numbers, featuring Matt Parker. Matt is the author of Things to Make and Do in the Fourth Dimensio
From playlist Director's Cut on Numberphile
Number Series Reasoning Tricks & Shortcuts - More Problems!
This math video tutorial on number series reasoning tricks and shortcuts has more advanced problems and examples compared to my previous video: My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/
From playlist New Precalculus Video Playlist
Illustrative Mathematics Grade 6 - Unit 1- Lesson 17
Illustrative Mathematics Grade 6 - Unit 1- Lesson 17 Open Up Resources (OUR) If you have any questions, please contact me at dhabecker@gmail.com
From playlist Illustrative Mathematics Grade 6 Unit 1
Radicals Complete Review - Simplifying, Rationalizing, Equations, Adding & Subtracting
Learn how to work with radicals in this comprehensive review by Mario's Math Tutoring. We go through 20 examples involving simplifying square roots, cube roots, fourth roots, etc. We also go through how to rationalize radicals when there is a radical in the denominator. We discuss workin
From playlist Algebra 2
Simplify by prime factorization the square root of a prime number
π Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist Simplify the Square Root Expressions
Complex Numbers - Basic Operations
This algebra 2 video tutorial explains how to perform operations using complex numbers such as simplifying radicals, adding and subtracting complex numbers, simplifying it in standard form, graphing complex numbers and calculating the absolute value of complex numbers. This video contains
From playlist New Precalculus Video Playlist