Factors and Multiples

Vocab and Processes

100

Define "Factor."

a number or quantity that when multiplied with another produces a given number or expression

200

Define "Multiple"

a number that can be divided by another number without a remainder.

"15, 20, or any other multiple of five" 

300

What does the word, "common" mean when used in GCF and LCM?

a value that appears in both/all lists of factors/multiples

400

Fully describe the steps involved in finding the LCM.

1.  List the multiples for each value.

2.  Find the common values/find the first value in which the lists overlap

500

Fully describe the steps involved in finding the GCF.

1.  List the factors of each value.

2.  Identify the common factors.

3.  Identify the greatest of the common factors.

Is it a factor?

100

Is 5 a factor of 20?  Show work to prove your answer.

Yes. (proven with multiplication or division)

200

Is 8 a factor of 52?  Show work to prove your answer.

No.  (Answer proven with multiplication or division)

300

Is 12 a factor of 96?  Show your work to prove your answer?

Yes (proven with multiplication or division)

400

Is 16 a factor of 128?  Show work to prove your answer.

Yes.  (Proven with multiplication or division)

500

How can you ensure you've found all of the factors of a number?

Check factors in order.  Once you get to a number that is already on your list, you know you have found them all.

Factor and Multiple Mastery

100

Which number is a factor of 15, but not a multiple of 3? 

A. 4 

B. 8 

C. 5 

D. 6

C.  5

200

Which number is a factor of 24, but not a multiple of 6? 

A. 8 

B. 12

C. 10 

D. 7

A. 8

300

Which number is a factor of 12, but not a multiple of 6? 

A. 10 

B. 8 

C. 4 

D. 9

C. 4

400

Which number is a factor of 16, but not a multiple of 4? 

A. 6

B. 10 

C. 2 

D. 8

C. 2

500

How can I check if a number is a multiple of a given value?

   ex. "Is 75 a multiple of 15?"

Divide the multiple by the given value.  If there is no remainder/it fits it evenly, it is a multiple.

OR

If I can multiply the given value and get to the multiple, it is a multiple.

GCF

100

Find the GCF of 6 and 3.

3

200

Find the GCF of 20 and 6

2

300

Find the GCF of 45 and 18.

9

400

Find the GCF of 16 and 36.

4

500

Find the GCF of 36 and 108

36

LCM

100

Find the LCM of 10 and 2.

10

200

Find the LCM of 3 and 8.

24

300

Find the LCM of 12 and 2.

12

400

Find the LCM of 12 and 11.

132

500

Find the LCM of 30 and 45

90