Factors and Multiples
List ALL the factors of 12
1,3,4,6,12
What is the definition of a prime number?
A number greater than 1 that has exactly two factors: 1 and itself.
What are the next two numbers in this pattern? 4, 8, 12, 16, __, __
20, 24 (Rule: Add 4).
Write a multiplication equation to represent: "24 is 4 times as many as 6."
4 x 6 = 24
Leo has 18 apples. Can he share them equally among 4 friends without cutting any apples? Explain.
No, because 18 is not a multiple of 4 (or 18 cannot be divided by 4 evenly)
What are the first four multiples of 6
6, 12, 18, 24
Is the number 15 prime or composite? Explain.
Composite, because it has more than two factors (1, 3, 5, 15).
Describe the rule for this sequence: 3, 6, 12, 24, 48.
Multiply by 2 (or double the previous number).
Maya has 5 stickers. Her brother has 3 times as many stickers as Maya. How many stickers does her brother have?
15 stickers ($5 \times 3 = 15$)
What is the area of a garden with a length of 8 feet and a width of 5 feet?
40 square feet
Is 35 a multiple of 5? How do you know?
Yes, because $5 \times 7 = 35$
What is the only even prime number?
2
If a pattern follows the rule "Subtract 5" and starts at 40, what is the 4th term?
25 (Terms: 40, 35, 30, 25).
Fill in the blank: 42 is ____ times as many as 7.
6
A hamster needs 3 feet of tubing to build one section of a tunnel. If you have 20 feet of tubing, what is the greatest number of full sections you can build?
6 sections
Find a number between 20 and 30 that is a common multiple of both 3 and 4.
24 (3 times 8 = 24 and 4 times 6 = 24).
Identify which of these numbers is prime: 9, 17, 21, 25
17
Look at the pattern: Circle, Square, Triangle, Circle, Square, Triangle... What shape will be in the 14th position?
Square (12th is Triangle, 13th is Circle, 14th is Square).
A large tree is 36 feet tall. A small bush is 4 feet tall. How many times taller is the tree than the bush?
9 times taller
Name two numbers that have a sum of 12 and a product of 35.
5 and 7
A teacher has 24 desks. List 3 different rectangular array arrangements (rows times columns) they can make using all 24 desks.
Any 3 of: 1 x 24, 2 x 12, 3 x 8, or 4 x 6.
True or False: All odd numbers are prime. Give an example to prove your answer.
False. Example: 9, 15, or 21 are odd, but composite.
A pattern starts at 2 and uses the rule "Add 3." Will the 10th number in this pattern be even or odd?
Odd. (Pattern: 2, 5, 8, 11, 14, 17, 20, 23, 26, 29).
Sam scored 8 points in a game. Alex scored $p$ points, which is 4 times as many as Sam. Write an equation using $p$ and solve for how many points Alex scored.
p = 8 x 4; p = 32 points
A classroom library has 3 shelves with 12 books on each shelf. The teacher buys 14 more books. How many total books are in the library now?
50 books