Prime Factorization
What is the prime factorization of 45?
5 x 32
What is 3/5 + 1/3?
14/15
2/3 × 3/4?
1/2
Find the greatest common factor (GCF) of 24 and 6.
6
What is 3/4 ÷ 1/2?
1 1/2
simplify 15/25
3/5
A farmer has 7 1/2 acres of land. He wants to divide it into plots that are 1 1/4 acres each. How many plots can he make?
6 plots
5 x 25
What is 7/8 - 1/4
5/8
What is 5/6 × 2/5?
1/3
What is the least common multiple (LCM) of 3 and 7?
21
What is 7 1/5 ÷ 2 2/3?
2 11/40
convert 9/4 to a mix number
2 1/4
A tank holds 6 2/3 gallons of water. A machine uses 5/6 gallon of water per cycle. How many full cycles can the machine run before the tank is empty?
8 full cycles
The prime factorization is 32x52 What number does this describe?
225
What is 4 1/2 + 5 4/3?
15 5/6
2 1/2 × 1 2/3
4 1/6
List all the factors of 36.
1, 2, 3, 4, 6, 9, 12, 18, 36
What is 2 1/4 ÷ 3/4?
3
Sarah ran 12/6 miles. How many whole miles did she run?
2 miles
A painter has 10 1/2 gallons of paint. Each wall uses 1 3/4 gallons. How many whole walls can she paint?
6 walls
The prime factorization of a number is 2³ × 3² × 5. What number is this?
360
A baker used 2 3/4 cups of flour for one batch and 3 2/5 cups for another. How much flour did she use in total?
6 3/20 cups
A recipe calls for 3/4 of a cup of sugar. If you make 2/3 of the recipe, how much sugar do you need?
1/2 cup
Sam has 18 apples and 24 oranges. He wants to divide them into identical gift bags with no leftovers. What is the greatest number of bags he can make?
6 bags (GCF of 18 and 24)
A rope is 6 feet long. Each piece needs to be 3/4 foot. How many pieces can you cut?
8 pieces
A recipe uses 22/6 cups of flour. How many cups is that as a mixed number in simplest form?
3 2/3 cups
A teacher has 12 1/2 yards of ribbon. She gives each student 5/6 yard. How many students can she give ribbon to?
15 students
A number has a prime factorization of 2² × 7 × 11. What is the number?
308
What is 5 7/8 + 3 2/5 - 4 1/2?
4 29/40
A board is 6 1/2 feet long. If each piece is 1 1/4 feet long, how much wood is used for 4 pieces?
5 feet
Mia practices piano every 4 days. Liam practices every 6 days. If they both practice today, in how many days will they both practice on the same day again?
12 days (LCM of 4 and 6)
A recipe uses 2/3 cup of milk per pancake. If you have 4 cups of milk, how many pancakes can you make?
6 pancakes
simplify 48/64
3/4
A swimming pool contains 21 gallons of water. If a pump removes 1 3/8 gallons of water per minute, how many whole minutes will it take to empty the pool?
15 minutes
A warehouse has two machines. One machine operates every 28 minutes, and the other every 36 minutes. The manager wants to find the least time both machines will run together again. Use prime factorization to find the LCM of the two times.
252 minutes
Marcus jogged 3 5/8 miles on Monday, 4 2/3 miles on Tuesday, and 2 3/4 miles on Wednesday. How far did he jog in total?
11 miles
A baker made 2 2/3 batches of cookies. Each batch uses 1 3/4 cups of sugar. How much sugar did she use in total?
4 2/3 cup
Q: Two classes are going on a field trip. One class has 36 students, and the other has 60 students. The school wants to divide both classes into groups of equal size with no one left out, and as many groups as possible.
How many students will be in each group?
12 students per group
A piece of ribbon is 9 3/4 feet long. If you cut it into pieces each 1 1/2 feet long, how many full pieces can you cut?
6 full peices
59/9
6 2/9
A bakery has 16 1/2 pounds of flour. Each loaf of bread uses 1 1/10 pounds. How many whole loaves can be made?
15 loaves