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Factors, Primes & Composite Numbers


Definition

• Product – An answer to a multiplication problem.

7 x 8 = 56Product


Definition

• Factor – a number that is multiplied by another to give a product.

7 x 8 = 56

Factors


Definition

• Factor – a number that divides evenly into another.

56 ÷ 8 = 7

Factor


What are the factors?

6 x 7 = 427 x 9 = 638 x 6 = 484 x 9 = 36

6 & 77 & 98 & 64 & 9


What are the factors?

42 ÷ 7 = 663 ÷ 9 = 748 ÷ 6 = 836 ÷ 9 = 4

7969


Definition

• Prime Number – a number that has only two factors, itself and 1.

77 is prime because the only numbers

that will divide into it evenly are 1 and 7.


Examples of Prime Numbers

2, 3, 5, 7, 11, 13, 17, 19

Special Note:One is not a prime number.


Definition

• Composite number – a number that has more than two factors.

8The factors of 8 are 1, 2, 4, 8


Examples of Composite Numbers

4, 6, 8, 9, 10, 12, 14, 15Special Note:

Every whole number from 2 on iseither composite or prime.


Our Lonely 1

Special Note:One is not a prime nor a composite number.

It is not primebecause it doesnot have exactly

two differentfactors.

It is not composite

because it doesnot have morethan 2 factors.


Definition

• Prime Factorization – A way to write a composite number as the product of prime factors.

2 x 2 x 3 = 12or

2 x 3 = 122


How to Do Prime Factorization Using a Factor Tree

48Step 1 – Start with a composite number.

Step 2 – Write down a multiplication problem that equals this number orany pair of factors of this number.

6 x 8 = 48



Step 3 – Find factors of these factors.

6 x 8 = 48

2 x 3 x 2 x 4 = 48



Step 4 – Find factors of these numbersuntil all factors are prime numbers.

6 x 8 = 482 x 3 x 2 x 4 = 48

2 x 3 x 2 x 2 x 2 = 48



Step 5 – Write the numbers from leastto greatest.

6 x 8 = 482 x 3 x 2 x 2 x 2 = 482 x 2 x 2 x 2 x 3 = 48



Step 6 – Count how many numbers arethe same and write exponents for them.

6 x 8 = 482 x 3 x 2 x 2 x 2 = 482 x 2 x 2 x 2 x 3 = 48 2 x 3 = 484


Prime factor this number

42 x 2

2 = 42

= 4



62 x 3 = 6



82 x 4

2 = 83

= 82 x 2 x 2 = 8



93 x 3 = 9

3 = 92



102 x 5 = 10



123 x 4

2 x 3 = 122

= 123 x 2 x 2 = 122 x 2 x 3 = 12



142 x 7 = 14



153 x 5 = 15



164 x 4

2 = 164

= 162 x 2 x 2 x 2 = 16



183 x 6

2 x 3 = 182

= 183 x 2 x 3 = 182 x 3 x 3 = 18



204 x 5

2 x 5 = 202

= 202 x 2 x 5 = 20



213 x 7 = 21



222 x 11= 22


Thanks

Submitted by Adesh

Mumbai


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www.makemegenius.com– Full of ingredients to make your child a genius.

“Don’t make me read, make me understand “

makemegenius – full of ingredients to make your child a genius

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