Factors and Multiples Word Problem

Vince has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam. he wants to place the jam into the greatest number of boxes possible so that each box has the same number of jars of each kind of jam. How many boxes does he need?

• 4 boxes

• 3 boxes

• 6 boxes

• 12 boxes

There are 14 girls and 21 boys in Mrs. Andrew's gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?

• 7 teams

• 14 teams

• 21 teams

• 42 teams

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?

• 55 minutes

• 25 minutes

• 60 minutes

• 75 minutes

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

• 14 days

• 24 days

• 34 days

• 44 days

In word problems, what words/phrases would require me to do HCF?

• Slowest

• Fastest

• Smallest

• Biggest

Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

• 4
• 2
• 48
• 8

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

• 48
• 2
• 4
• 16

Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

• 3
• 18
• 9
• 27

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?

• 6
• 2
• 4
• 8

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

• 16th customer
• 150th customer
• 300th customer
• 180th customer