Divisibility Rules
GCF
LCM
Prime Factorization
Fractions
100

True or False?

123 is divisible by 2 and 3 

False, it is not divisible by 2 but is divisible by 3

100

What is the GCF of 12 and 18?

6

100

True or False?

The LCM of 6 and 9 is 54.

False, the LCM is 36.

100

What is the prime factorization of 54?

2 x 33

100

True of False:

 2/3 and 4/9 are equivalent.

False

200
What is the divisibility rule for 6?
The number has to be divisible by 2 AND 3.
200

What is the GCF of 24 and 26?

12

200

What is the LCM of 15 and 20?

60

200

What number is this?

3^2*5^2

225

200

Find the LCD of  4/7 and 3/10 

LCD is 70

300

What is 1029 divisible by?

3, and 9

300

True or False:

The GCF of 2 prime numbers is 1.

True

300

What is the LCM of 35 and 50?

350

300

What are the two numbers?

18 and 27

300

Compare (<,>, or =)

4/5 < 5/6

400

What is 1890 divisible by?

2, 3, 5, 6, 9 and 10

(ALL our rules)

400

You are making balloon arrangements for a birthday party. There are 16 white balloons and 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements you can make using every balloon?

8 arrangements

400

 Hot dogs come in packs of 10, while buns come in packs of 8. What are the least numbers of packs you should buy in order to have the same numbers of hot dogs and buns?

4 packs of hot dogs

5 backs of buns

40 of each

400

What is the prime factorization of 650?

2*5^2*13

400

19/15 or 1 1/5

500

Create a number that is divisible by 9.

Prove it.

The sum of the digits has to be a multiple of 9.

500

 You need to fi nd the GCF of 256 and 400. Would you rather list their factors or use their prime factorizations? Explain.

It would be better to do prime factorizations because the numbers are large.

500

You have diving lessons every fifth day and swimming lessons every third day.Today you have both lessons. In how many days will you have both lessons on the same day again?

in 15 days

500

What is the error? Write the correct prime factorization.

9 can be broken up 

Correct:  2^3*3^2 

500

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