How can u tell? My Special Number Is... 84!!! What is A Factor? A factor is a number that equally

divides into a whole number is my number Odd, or Even? My number is even, because any number's ending digit determines whether it is even or odd. Is my number Prime or Composite??? My number is

Composite Why? Because while Prime numbers may only be divisible by 1 and itself, a Composite number must have more than two factors

The factors of 84 are...

1 and 84

2 and 42

3 and 28

6 and 14

7 and 12 is my number divisible by 10? I know that my number also can not be divisible

by 5, because its last digit does not end in a 5 nor a 0.

because only numbers with an ending digit of 0 will work! I also know that my number is divisible by 3 based on the 3 and 9 rule. They both state that the sum of the number's digits must be able to divide evenly by both 3 and 9 itself My number is divisible by 2, because its last digit is even However, 84 is NOT divisible by 9, athough 3 is, and they both share the same rule. 8+4=12

And 9 can not go into 12 Can 6 go into 84??? Yes! Because 2 and 3 can NO 2 3 5 6 9 10 Yes, it is odd Yes, sum=12 No, ending digit is not 5 or 0 Yes, 2 and 3 are divisible No, sum=12 No, ending digit is not 0 # Rule 84 What are the multiples of my number??? 84's multiples include...

84, 168, 252, 336, 420, 504, 588, 672, 756, 840, etc. Well, what's a multiple? A multiple is simply the product of any number and an integer ( a whole number) My number is NOT a square number Square numbers have a factor pair that are the exact same number. For example, the square root of 81 is 9, because... 9x9=81 The sum is the answer to an addition problem 25+59=84!!! An example of 84 as the Difference would be 151-67=84 Because the term "difference" is used for the answers to a subtracting equation the product of my number can be used as 3x28=84 A product is the outcome of any mutiplication problem And finally, the quotient of my number can be refered to as any outcome of division like...

504/6=84 84

2 42

2 21

3 7 Prime Factorizaton Can be written like this! 2x2x3x7=84 Circled numbers are prime= when factor tree is complete!

can also be written like this: 2x2x3x7=84 2 x3x7=84 2 This is just a different type of form to write equations out. Exponents are the number of times you multiply the base by itself GCF The GCF ( reatest ommon actor)

means the largest factor that two numbers have in common G C F

GCF uses the same step to finding the prime factorization of 84... For example... 84

2 42

2 21

3 7 2 x 2 x 3 x 7 24

2 12

2 6

2 3 These are the steps to finding the GCF of 84 and 24: 2 x 2 x 2 x 3 The circled numbers are the common factors! GCF can also be found by using a "List Method" List Method: 24

1x24

2x12

3x8

4x6 84

2x42

3x28

6x14

7x12 2x2x3=12 GCF: List method: 84

1x84

2x42

3x28

6x14

7x12 24

1x24

2x12

3x8

4x6 GCF=12 circle the greatest common factor on both sides! LCM The SMALLEST MULTIPLE that two numbers have in common LCM: 84

2 42

2 21

3 7 LCM 12

2 6

3 2 2 x 2 x 3 x 7

2 x 3 x 2 2x2x3x7=84 LCM: Or... 168, 252, 336, 420, 504, 24, 48, 60, 72, 84, 96, 108 84 12 So why did i choose my number??? I chose the number 84, because

it is one of the numbers under 100 with the most factors Thanks for watching!

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# My Special Number Project

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