Greatest Common Factor

The greatest common facor can be defined as the largest factor in the group of factors that divides the number.

The steps in order to find the GCF.

1. List the prime factors of each number.
2. Multiply those factors that both numbers have in common. If there is no common prime factors then the GCF is 1.

This link will show you some more information about GCF's except in more detail. LINK

Some examples of GCF's can be found on this link. EXAMPLES

Here are some workouts that you can try to test your skills with GCF's. PROBLEMS

If you are still finding problems then watch this video.

Prime & Composite Numbers

What is a so called prime number? Well a prime number is a number that is divisible only by itself and 1. Primes are all greater than 1. They are also the so called "building blocks" of numbers.
Composite numbers. These are whole numbers that are also less greater than 1. But the difference is that a composite number is not a prime number and has factors other than 1 and itself.
This link will take you to a page talking about prime numbers. And the composite link is right here, it will also take you to a page that explains composite numbers in more detail.
This link will take you to a video about prime and composite numbers.

Divisibility Tests

There are 12 different divisibility tests. They are the numbers 2-12. This link shows all the different steps LINK.

The divisibility of 7 and 11 are really difficult and hard to solve.

7 is very difficult and recommended that you just do the division.

11 can be solved by finding the sumo of the odd-numbered digits (odd sum) and the sum of the even numbered digits (even sum). Take the difference between the odd and the even sum. If this difference is divisible by 11, then the original number is divisible by eleven.

7204857. You add the odd numbered digits 7+0+8+7=22

Then you take the even numbered digits and add them. 2+4+5=11

Subtract 22-11=11.

11 is divisible by 11 so you know that 7204857 is divisible by 11.

This video will help you if need some more help.

Prime Factorization

Prime factorization is an easy way to show the numbers that make up that number. click here for an example of a prime factorization. Prime factorization can be solved by two ways. The first way is probably the way everyone knows.

The first way you take the number and divide it by a number with a prime usually two if its an even number. And then after that you will then divide it by another prime tell its all the way to its simplest form.
The second way is like your dividing a number except backwards.
HERE IS A LINK TO BOTH EXAMPLES

IF YOU NEED HELP HERES A VIDEO THAT WILL HELP

Properties Of Additon

Addition, who knew there could be so many different ways for them to be shown. The three different types I will talk about are Commutative, Associative,Identity, and Distributive.
Commutative property is when two numbers are added the sum is the same regardless of the order of the addends. For example 4 + 2 = 2 + 4.
Associative property is when three or more numbers are added the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 2 + (3 + 4)
Identity property is when the sum of any number and zero is the original number. For example 5 + 0 = 5.
Distributive property is when the sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3

Crazy Numbers

I recently have learned the different number systems through out time. They are Egyptian, Babylonian, Mayan, and of course the decimal system. These each are quite challenging and can cause some discouragement.

The Egyptian math is base 10 just like our decimal system. Babylonian is base 60 and the Mayan is modified base 20. These types of numbers also have weird symbols to represent numbers. To see the Egyptian symbols click here. The Babylonian symbols can be shown by clicking on this link. And lastly the Mayan symbols are shown here.