Factors & Multiples
Write the first 5 multiples of 6.
ANSWER: 6, 12, 18, 24, 30
Which of the following sentences describe a comparison using multiplication?
Francis is 46 inches taller than Terry.
Francis is 16 inches shorter than Terry.
Francis is three times as tall as Terry.
Francis is three times as tall as Terry
(Terry's height x 3 = Francis' height)
Is 35 prime or composite? If it is composite, you must prove it by showing a factor pair other than 1 and itself.
Composite
7 x 5 = 35
What is the answer to a multiplication problem called?
ANSWER: Product
Ernie runs twice as far as Bert. If Bert runs 11 miles, how far does Ernie run?
11 x 2 = 22
Ernie runs 22 miles.
Which of the following numbers are multiples of 8?
1, 2, 4, 8, 16, 24, 30, 40
8, 16, 24, 40
Which of the following sentences describes a comparison using multiplication?
The asteroid was twice as tall as the Eiffel Tower.
The asteroid weighs 2 tons more than the Eiffel Tower.
The asteroid is larger than the Eiffel Tower.
The asteroid was twice as tall as the Eiffel Tower.
(Eiffel Tower's Height x 2 = Asteroid's Height)
Is 47 a prime or composite number? If it is composite, you must prove it by showing a factor pair other than 1 and itself.
47 is a prime number
Show an example of a square number. Create a simple array for that number.
POSSIBLE ANSWERS:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144...
Write the first 10 multiples of 9.
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
________ and 49
7 and ______
1 and 49
7 and 7
How many times bigger is 72 than 9?
9 x 8 = 72
72 is 8 times more than 9.
Which numbers are prime in the list below?
5, 6, 10, 11, 15, 18, 23, 25, 27, 29
The prime numbers are 5, 11, 23, and 29
Craig is 4 times older than his sister. Craig is 12 years old. Use one of these equations to find his sister's age.
? x 12 = 4
? x 4 = 12
? + 4 = 12
? - 4 = 12
? x 4 = 12
3 x 4 = 12
Craig's sister is 3 years old.
There are 4 factor pairs of 42. Find all the factor pairs of 42, then write them in order of least to greatest.
1 x 42
2 x 21
3 x 14
6 x 7
1, 2, 3, 6, 7, 14, 21, 42
There are four factor pairs of 40. Find all the factor pairs of 40. Then list the factors from least to greatest.
1 x 40
2 x 20
4 x 10
5 x 8
1, 2, 4, 5, 8, 10, 20, 40
Greta read 96 books last year. Chauncy read 12 books last year. How many times more books did Greta read than Chauncy?
12 x ? = 96
12 x 8 = 96
Greta read 8 times as many books as Chauncy.
Which numbers are composite from the list below?
2, 3, 4, 7, 8, 9, 13, 14, 19, 21, 24
4, 8, 9, 14, 21, 24
Which THREE of the following numbers has an odd number of factors?
5, 9, 15, 25, 30, 36, 40
9, 25, 36
(They are all square numbers)
A whale shark is twice as long as hammerhead shark. The whale shark is 36 feet long. How long are the hammerhead shark and whale shark all together?
STEP 1: ? x 2 = 36
18 x 2 = 36 (the hammerhead is 18 ft long)
STEP 2: 36 + 18 = 54
ANSWER: The hammerhead shark and whale shark are 54ft long all together.
There are five factor pairs of 48. Show them all. Then list the factors from least to greatest.
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Harper has 12 video games. Brenda has 7 times as many. How many more video games does Brenda have than Harper?
STEP 1: 12 x 7 = 84 (Brenda has 84 games)
STEP 2: 84 - 12 = 72
ANSWER: Brenda has 72 more games than Harper.
Which TWO of these numbers is prime?
43, 45, 49, 51, 55, 61, 63, 65,
ANSWER: 43 and 61 are prime numbers
The others are composite because...
9 x 5 = 45 (AND 3 x 15 = 45)
7 x 7 = 49
3 x 17 = 51
5 x 11 = 55
3 x 21 = 63
5 x 13 = 65
Tristan made $9 selling lemonade. Tristan made 7 times has much money mowing lawns. How much more did he make mowing lawns than he did selling lemonade?
STEP 1: 9 x 7 = 63 (He made $63 mowing lawns)
STEP 2: 63 - 9 = 54
ANSWER: He made $54 more mowing lawns than he did selling lemonade.
Which of the following numbers has an even number of factors?
2, 12, 16, 26, 40, 49, 64
2, 12, 26, 40
The other numbers (16, 49, 64) are square numbers. If a number is not square, it has an even amount of factors.