Telisa's Scribepost, Notation and Prime Factorization

Last class we needed to learn about Notation and Prime Factorization...

Before we could learn that though we needed to review the information we needed to know in order to be able to understand both better.



What are Square Numbers ?

The prouduct of a whole multiplied by itself.



What are Factors ?

A whole number which divided evenly into a whole umber leaving no remainder.



What are Prime Numbers ?

Whole numbers greater than one that can only be divided by one and itself, one isn't a prime number.



What are Prime Factors ?

Factors that are prime numbers.



For Notation we needed to learn what a Square Number was and area ( length multiplied by width )



This is what we got ...



1 = 1 * 1 = 1²

4 = 2 * 2 = 2²

9 = 3 * 3 = 3²

16 = 4 * 4 = 4²

25 = 5 * 5 = 5²

36 = 6 * 6 = 6²

49 = 7 * 7 = 7²

64 = 8 * 8 = 8²

81 = 9 * 9 = 9²

100 = 10 * 10 = 10²

121 = 11 * 11 = 11²

144 = 12 * 12 = 12²



Prime Factorization



To learn this we needed to know what a Prime Factor was, as well as a prime number and factor.

We use this to help narrow down numbes to their Prime Factors and determine if they are Square numbers or not .



examples...

18

/ \

2 9

/\

3 3

18 = 2 * 3 *3

24

/ \

4 6

/\ /\

2 2 2 3

24 = 2 * 2 *2 *3

36

/ \

6 6

/ \ / \

3 2 3 2

36 = 3 * 2 *3 *2

144

/ \

2 72

/\

9 8

/\ /\

3 3 4 2

/\

2 2

144 = 2*3 *3 *2 *2

Please comment and tell me if i have made any mistakes

Thanks for reading

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Bruce's Scribepost, Nov.19

Hey guys,

Well today we went over some of the homeworrk we were assigned to do.
For example...
Factors of...
1-1
2-1,2
3-1,3
4-1,2,4
5-1,5

We also went over some definitions, such as...
Square Numbers-the product of a whole number multiplied by it self
Example...9=3x3
Factors-a whole number which divides evenly into a whole number leaving no remainder.
Example...16=1,2,4,8,16
Prime Numbers-a whole number greater than 1, that has only 2 factors. The 2 factors are 1 and itself.(1 is not a prime number)
Example...
2,3,5,7,11,13
Prime Factors-factors that are prime numbers.
Example...
10=1,2,5,10(the prime factors are 2 and 5)

After homework check we went into Prime Factorization.
Here are a few examples.
18=2x3x3
24=2x2x2x3
36=2x3x2x3
144=3x4x3x4
144=2x2x2x3x2x3
I couldn't draw a factor tree so just look at Ronny's or someone who has a factor tree if you want to understand prime factorization easier.
Than the lady(can't remember her name) told us that the way to find out which one is a perfect square is that it is to have even pairs of the same numbers.
Example...
36=2x3x2x3
2 and 2 are 1 pair
3 and 3 are another pair

If you don't understand what I'm doing ask Mr Harbeck or the other teacher.

Homework is do pages 24 and 25 in your math book.
PLEASE COMMENT!!!