Factors & Multiples
Which three numbers are multiples of 6:
12, 16, 30, 44, 54?
12, 30, and 54
What is 21 × 4?
84
An area model represents 4 × 32. The 32 is broken into 30 + 2. What are the two partial products?
Draw it out
120 and 8
A rectangle is 8 centimeters long and 3 centimeters wide. What is its area?
24 square cemtimeters
Start at 4 and use the rule “Add 4.” What are the first six terms, including 4?
Answer: 4, 8, 12, 16, 20, 24.
List all the factors of 18.
1, 2, 3, 6, 9, and 18
What is 96 ÷ 3?
32
An area model for 6 × 27 has two sections: 6 × 20 and 6 × 7. What is the total area?
Draw it out
120 + 42 = 162 square units.
A rectangle is 12 inches long and 4 inches wide. What is its perimeter?
32 inches
What is the rule for this pattern, and what are the next two terms? 7, 12, 17, 22, ___, ___.
Add 5. The next two terms are 27 and 32.
Is 29 prime or composite? Explain how you know.
Prime. It has exactly two factors: 1 and 29.
What is 46 × 7?
322
Which expression correctly breaks apart 276 ÷ 3?
A. (270 ÷ 3) + (6 ÷ 3)
B. (27 ÷ 3) + (6 ÷ 3)
C. (270 ÷ 3) + (6 ÷ 1)
A. (270 ÷ 3) + (6 ÷ 3)
A rectangular garden is 14 feet long and 6 feet wide. Find its area and perimeter.
Area: 84 square feet. Perimeter: 40 feet.
Ava reads 7 pages. Ben reads 16 times as many pages as Ava. How many pages does Ben read?
112 pages
A student says, “All odd numbers are prime.” Explain why this is incorrect using 15 as an example.
15 is odd, but it is composite because it has more than two factors: 1, 3, 5, and 15.
What is 168 ÷ 4?
42
Jada writes 5 × 36 = (5 × 3) + (5 × 6) = 45. Explain her mistake and find the correct product.
The 3 represents 3 tens, or 30. She should write (5 × 30) + (5 × 6) = 150 + 30 = 180.
A rectangle has an area of 96 square meters and a width of 6 meters. What is its length?
16 meters
A pattern starts at 5 and follows the rule “Add 5.” Will the 24th term be even or odd? Explain without listing every term.
Even. The terms alternate odd and even, and every even-numbered position has an even number.
I am a multiple of 8 and a factor of 48. I am greater than 8 but less than 24. What number am I?
16
A school has 156 pencils. The pencils are shared equally among 6 classrooms. How many pencils does each classroom receive?
26
To solve 86 ÷ 2, Malik gives each group 4 tens and 3 ones. He leaves 2 tens undistributed and says the answer is 43. Explain his mistake and find the correct quotient.
He must rename the remaining 2 tens as 20 ones and share them equally. Each group gets 10 more ones. The correct quotient is 53.
A rectangular playground has a perimeter of 54 meters and a length of 18 meters. What are its width and area?
Width: 9 meters. Area: 162 square meters.
The Jaguars score 84 points. That is 6 times as many points as the Tigers score. Write an equation to find the Tigers’ score and solve it.
6 × ___ = 84, or 84 ÷ 6 = 14. The Tigers score 14 points.