Prime Factorization
WHat is the prime factorization of 40?
2 x 2x 2 x 5 = 2 to the third x 5
Rewrite 18 + 6 using the distributive property.
6(3 + 1)
What is the greatest common factor of 12 and 15
3
What is the least common multiple of 3 and 7?
21
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
What is the product of these primes?
5 x 3 x 2
30
Rewrite 28 + 14 using the distributive property.
14(2 + 1) or 2(14 +7)
What is the greatest common factor of 24 and 20?
4
What is the least common multiple of 4 and 9?
36
How many prime factors multiplied together are needed to get a product of primes to be 60?
2 x 2 x 3 x 5
Four Factors are needed
Rewrite 24 + 48 using the distributive property and factoring out the greatest common factor
24 (1 + 2)
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
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
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?
How many members will receive all three gifts out of 160 audience members?
Every 40th will receive all 3 gifts
Out of 160 members, 4 will receive all three items
Rewrite 40 + 64 using the distributive property.
8 (5 + 8) or 2(20+32)
75 boys and 60 girls are placed into 15 groups with the same number of boys and girls in each group. How many boys and girls are in each group?
5 boys and 4 girls
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
Rewrite 60 + 30 using the distributive property in at least three different ways
15(4 + 2)
2(30 + 15)
5(12 + 6)
3(20 + 15)
Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He will 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
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.