factors & primes

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Factors, Primes & Composite Numbers by Monica Yuskaitis

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Page 1: Factors & Primes

Factors, Primes & Composite Numbers

by Monica Yuskaitis

Page 2: Factors & Primes

Definition

Product – An answer to a multiplication problem.

7 x 8 = 56Product

Page 3: Factors & Primes

Definition

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

7 x 8 = 56

Factors

Page 4: Factors & Primes

Definition

Factor – a number that divides evenly into another.

56 ÷ 8 = 7

Factor

Page 5: Factors & Primes

What are the factors?

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

6 & 77 & 98 & 64 & 9

Page 6: Factors & Primes

What are the factors?

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

7969

Page 7: Factors & Primes

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.

Page 8: Factors & Primes

Examples of Prime Numbers

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

Special Note:One is not a prime number.

Page 9: Factors & Primes

Definition Composite number – a

number that has more than two factors.

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

Page 10: Factors & Primes

Examples of Composite Numbers

4, 6, 8, 9, 10, 12, 14, 15

Special Note:Every whole number from 2 on is

either composite or prime.

Page 11: Factors & Primes

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.

Page 12: Factors & Primes

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

Page 13: Factors & Primes

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

Page 14: Factors & Primes

How to Do Prime Factorization Using a Factor Tree

Step 3 – Find factors of these factors.

6 x 8 = 48

2 x 3 x 2 x 4 = 48

Page 15: Factors & Primes

How to Do Prime Factorization Using a Factor Tree

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

Page 16: Factors & Primes

How to Do Prime Factorization Using a Factor Tree

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

Page 17: Factors & Primes

How to Do Prime Factorization Using a Factor Tree

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

Page 18: Factors & Primes

Prime factor this number

42 x 2

2 = 42

= 4

Page 19: Factors & Primes

Prime factor this number

62 x 3 = 6

Page 20: Factors & Primes

Prime factor this number

82 x 4

2 = 83

= 82 x 2 x 2 = 8

Page 21: Factors & Primes

Prime factor this number

93 x 3 = 9

3 = 92

Page 22: Factors & Primes

Prime factor this number

102 x 5 = 10

Page 23: Factors & Primes

Prime factor this number

123 x 4

2 x 3 = 122

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

Page 24: Factors & Primes

Prime factor this number

142 x 7 = 14

Page 25: Factors & Primes

Prime factor this number

153 x 5 = 15

Page 26: Factors & Primes

Prime factor this number

164 x 4

2 = 164

= 162 x 2 x 2 x 2 = 16

Page 27: Factors & Primes

Prime factor this number

183 x 6

2 x 3 = 182

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

Page 28: Factors & Primes

Prime factor this number

204 x 5

2 x 5 = 202

= 202 x 2 x 5 = 20

Page 29: Factors & Primes

Prime factor this number

213 x 7 = 21

Page 30: Factors & Primes

Prime factor this number

222 x 11= 22