Divisibility Rules
Distributive Property
Greatest Common Factor
Least Common Multiple
Final Jeopardy
100

What is the divisibility rule for 2 and 3?

A number is divisible by 2 if it is even. A number is divisible by 3 if the sum of its digits is divisible by 3.

100
Rewrite 18 + 6 using the distributive property.
6(3 + 1)
100
What is the greatest common factor of 12 and 15
3
100
What is the least common multiple of 3 and 7?
21
100

Use the distributive property to write an equivalent expression:

7(3r + 7s - 4)

21r + 49s - 28

200

What is the divisibility rule for 4?

If the last two digits are divisible by four.

200
Rewrite 28 + 14 using the distributive property.
14(2 + 1)
200
What is the greatest common factor of 24 and 20?
4
200
What is the least common multiple of 4 and 9?
36
200

Use the distributive property to write an equivalent expression.

9(7p - 3q + 8r - 6s - 9)

63p - 27q + 72r -54s - 81

300

What is the divisibility rule for 6?

A number is divisible by 6 if it is also divisible by 2 and 3.

300
Rewrite 24 + 48 using the distributive property.
24 (1 + 2)
300
Sarah is making bead necklaces. She has 60 blue beads and 72 green beads. What is the greatest number of identical necklaces she can make if she wants to use all the beads?
12 necklaces
300
You bring snacks for your basketball team every fifth game. Every third game is a home game. When will be the first time that you bring snacks to a home game?
The 15th game
300

Use the distributive property to write an equivalent expression:

15(5a + 9b - 8c - d + 11e - 7f)

75a + 135b -120c - 15d + 165e - 105f

400

What is the divisibility rule for 9?

A number is divisible by 9 if the sum of its digits is divisible by 9.

400
Rewrite 40 + 64 using the distributive property.
8 (5 + 8)
400
128 boys and 144 girls are placed into 16 groups with the same number of boys and girls in each group. How many boys and girls are in each group?
8 boys and 9 girls
400
Nicole meets her friend Jackie every 8 days. She meets her friend Kelly every 6 days. One day, she meets both Jackie and Kelly. In how many days will she next meet Jackie and Kelly?
24 days
400

Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. How many times will they beep at the same time in 30 minutes?

1

500

What is the divisibility rule for 8?

If the last three digits are divisible by eight

500
Rewrite 75 + 30 using the distributive property.
15(5 + 2)
500
Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If he wants each container to have the greatest number of cookies possible, how many plastic containers does he need?
12 plastic containers
500
On a game show, every 5th audience member receives a free bag of candy, every 8th audience member receives a free CD, and every 20th audience member receives a free shirt. What audience member will be the first one to receive all three gifts?
The 40th audience member will receive all three gifts.
500

Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 6 minutes to run one lap and it takes Wiggly 16 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?

48 minutes

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