Click here to view the embedded video.

A detailed tutorial on how to identify perfect numbers. Step by step tutorial including several examples of perfect numbers for reference.

A perfect number is a number that is the sum of all it’s divisors (excluding the number itself, which is also a proper divisor). The way that you identify a perfect number is to find all of its divisors. Once you have them all, add them together. If they equal the number, then it is a perfect number. If they don’t, then it is not a perfect number.

Click here to view the embedded video.

A detailed tutorial on the Euclidean algorithm. Step by step tutorial including several examples of the Euclidean algorithm for reference.

The Euclidean algorithm, sometimes referred to as Euclid’s algorithm, is the most efficient way of determining the greatest common factor of two numbers. The greatest common factor of two numbers is the largest number that divides them both evenly. The Euclidean algorithm is used in a series of steps – it follows a pattern that helps to find numbers and their factors with accuracy.

Click here to view the embedded video.

A detailed tutorial on identifying coprime numbers. Step by step tutorial including several examples of how to identify coprime numbers for reference.

Two numbers are considered to be coprime, or relatively prime, if they have no common positive factor other than 1, or if their greatest common divisor is 1. Sometimes the notation for perpendicular is used to say that a number A is coprime to another number B. The term coprime was invented because the numbers are prime together, but are not prime themselves. A prime number can be coprime with any number.

Click here to view the embedded video.

Description

A detailed tutorial on how to solve problems using long division. Step by step tutorial including several examples of long division for reference.

Overview

Long division is the first method students learn to solve division problems. The process looks complicated but long division is much easier than any other method. Long division involves drawing a symbol that looks a lot like a square root symbol, putting the divisor on the outside (to the left) and the dividend on the inside (under the line of the symbol). The divisor should be smaller number than the dividend. Basically, you take each number of the dividend seperately and ask how many times the divisor will go into it. If the number is too small put the second number onto it (for example, if your number is 183, and 1 is too small, then you look at the number 18). Let’s say the divisor will go into the number 3 times. Write 3 on the top of the line and subtract your divisor * 3 from the number you used to find that. Sometimes the difference is 0, but usually it isn’t. Keep on adding the next number in the dividend with it until you get to the last number, at which point you must add on the remainder in a decimal point. Long division is also a way to convert fractions into decimals if changing the denominator to 100 is impossible. When you do this, the numerator becomes the dividend and the denominator becomes the divisor.