Prime Factorization, LCM, & GCF

Match the following

• multiple

• Numbers with more than 2 factors

• composite

• Product obtained when multiplying a number by another number

• prime factorization

• Process of finding factors of a number that are not composite numbers

• factors

• Numbers multiplied together to find a product

• prime

• Numbers with only 2 factors

Label each of the following​

Groups:

(a) Prime Numbers

,

(b) Factors of 18

,

(c) Multiples of 8

,

(d) Factors of 250

• 29

• 43

• 10

• 64

• 80

• 6

• 9

• 50

• 13

• 16

• 18

• 25

Use your divisibility rules to label the numbers. Note: Some may be divisible by more than one number! You have to get the combination right.

d

c

e

b

a

f

Divisible by 2

Divisible by 9

Divisible by 10

Divisible by 4

Divisible by 5

Divisible by 3

Complete the prime factorization by labeling the black boxes.

c

b

a

7

3

126

When is a number's prime factorization complete?

• All factors are even.

• All factors are odd.

• All factors are prime numbers.

• All factors are composite numbers.

Match the prime factorization to each number.

• 200

• 
• 1000

• 
• 26

• 
• 81

• 
• 111

•