Prime Factorization
Find the prime factorization of 32.
2 x 2 x 2 x 2 x 2
or 25
What is the greatest common factor of 12 and 48?
12
Joseph buys a gallon of milk every 6th day and a box of cereal every 8th day. He bought both items today. In how many days will he buy both items together again?
24 days
4/9 divided by 2/3
2/3
What is .092 divided by .2?
.46
Find the prime factorization of 41.
1 x 41
What is the GCF of 48 and 72?
24
A candy shop sells four different boxes of milk chocolates:
In addition, the shop sells mint chocolate, white chocolate, dark chocolate, and caramel chocolate by the gram.
Rania goes to the shop to buy some chocolates for her family and friends. Which statements are true? Choose all that are correct.
A. If Rania wants to buy the same number of milk chocolates in the small boxes as in the large boxes, the least number of boxes she should buy is 8 small and 6 large.
B. If Rania wants to buy the same number of milk chocolates in the miniature boxes as in the medium boxes, the least number of boxes she should buy is 5 miniature and 4 medium.
C. Rania buys 56 grams of mint chocolate and 72 grams of white chocolate that she wants to divide into bags with an equal weight of each type of chocolate in each bag. The greatest number of bags she can use is 4.
D. Rania buys 84 grams of dark chocolate and 96 grams of caramel chocolate that she wants to divide into bags with an equal weight of each type of chocolate in each bag. The greatest number of bags she can use is 12.
B and D
Sam bought a 7/8 -foot piece of wood to make some small boxes to hold his insect collection. He used 3/16 foot of wood for each box. Which equation can be used to show how many boxes Sam made?
7/8 divided buy 3/16 = 14/3
Evaluate: 6.338 + 2.705 + 4.099
13.142
What is the prime factorization of 180?
2 x 2 x 3 x 3 x 5
What is the GCF of 18 and 66?
6
The least common multiple of 9 and 12 is ________.
The greatest common factor of 9 and 12 is________.
36, 3
JoAnn has 2/3 of an hour in which to do her math homework. It takes her 1/12 hour to do each math problem. How many problems can JoAnn complete in 2/3 of an hour?
8 problems
Evaluate .76 x 2.005
1.5238
What is the prime factorization of 84?
2 x 2 x 3 x 7
or
22 x 3 x 7
What is the greatest common factor of 72 and 90?
18
A restaurant has several standing orders with a supplier and receives a shipment of beef every 4 days, a shipment of salad greens every 6 days, and a shipment of potatoes every 8 days. If it received shipments of all three items today, which of these are true? Choose all that are correct.
A. The next time that the restaurant will receive shipments of both beef and potatoes is in 8 days.
B. The next time that the restaurant will receive shipments of both salad greens and potatoes is in 16 days.
C. The next time that the restaurant will receive shipments of both beef and salad greens is in 12 days.
D. The next time that the restaurant will receive shipments of both beef and potatoes is in 12 days.
E. The next time that the restaurant will receive shipments of both salad greens and potatoes is in 24 days.
F. The next time that the restaurant will receive shipments of both beef and salad greens is in 10 days.
A, C, and E
Radha has 3/4 cup of flour to make breakfast muffins. She uses 1/6 cup of flour for each muffin. How many muffins can Radha make?
4 1/2 muffins
0.8 divided by .05
16
Find the prime factorization of 7,719.
3 x 31 x 83
Which expression shows (48+16)(48+16) in in the form of c(a+b)c(a+b) , where c is the greatest common factor of 48 and 16?
A. 4(12+4)
B. 16(3+1)
C. 24(2+1)
D. 48(1+16)
B. 16(3+1)
A city's bus system has a red line and a blue line. At the City Hall Station, the red–line bus and the blue–line bus both arrive at 7:30 a.m. A red–line bus then arrives every 12 minutes, while a blue–line bus arrives every 10 minutes.
Determine the least common multiple of 10 and 12.
What does this value mean in terms of the bus system?
60
The least common multiple of 60 means that at the City Hall Station, the earliest time after 7:30 a.m. in which the red–line bus and the blue–line bus will arrive together is 60 minutes later (in other words, at 8:30 a.m.).
Martin has 2 5/8 pounds of ground beef. He wants to divide the beef into equal-sized portions to put into his freezer. The portions must be less than one pound each. How many equal-sized portions can Martin make?
Martin can divide the beef into 3 portions of 7/8 pound each. Since 2 5/8 = 21/8 , dividing into portions of 7/8 pound each means finding
21/8 ÷ 7/8=21/8 × 8/7=3 portions
15 - 3.701
11.299