Factors
What is a factor?
* A number used in a multiplication equation.
* A count by number
What is a multiple?
* a land on number
What is a prime number?
A number with only 2 factors, 1 & itself.
Michelle has 4 blue buttons. She has three times as many green buttons. How many green buttons does she have?
She has 12 green buttons.
Evidence:
4 x 3 = 12
Which lists all the factors of 24?
A) 1, 24
B) 1, 2, 24
C) 1, 2, 12, 24
D) 1, 2, 14, 24
C) 1, 2, 12, 24
Evidence:
1 x 24 = 24
2 x 12 = 24
What are all the factor pairs of 36?
1, 36 (1 x 36)
2, 18 (2 x 18)
3, 12 (3 x 12)
4, 9 (4 X 9)
6, 6 (6 x 6)
What are the first five multiples of 7?
0, 7, 14, 21, 28, 35
What is a composite number?
A number with more than 2 factors.
Max ran 3 laps at the Fun Run. His good friend Wes ran twice as many laps. How many laps did Wes run?
Wes ran 6 laps.
Evidence:
3 x 2 = 6
Paul made muffins for his grandmother. He made 6 chocolate chip muffins. He then made 3 times as many lemon muffins because lemon is her favorite. How many lemon muffins did Paul make?
Paul made 18 lemon muffins.
Evidence:
6 x 3 = 18
Make the statement true:
________ is a factor of _________.
answers will vary
Make the statement true:
_______ is a multiple of ________.
answers will vary
What is true about all prime numbers, with the exception of one number, and what is this number?
All prime numbers are odd numbers except for 2. 2 is the only prime number that is even. The only factors of 2 are 1 and 2.
Allison is fives times as old has her son Sean. Allison is 35 years old.
What equation can you use to find out Sean's age?
A) 5 x 35 = ?
B) 5 x ? = 35
C) 35 - 5 = ?
D) ? x 35 = 5
B) 5 x ? = 35
Sean is 7 years old.
Rosa and Hector play a game of multiples. Each player picks a number card and says a multiple of that number. Rosa picks a 9.
Select all the multiple of 9.
A) 27
B) 3
C) 90
D) 1
E) 18
F) 70
A) 27 (9 x 3 = 27)
C) 90 (9 x 10 = 90)
E) 18 (9 x 2 = 18)
Which of the following has an odd number of factors?
Choose all that apply.
A) 16
B) 24
C) 21
D) 9
A) 16 (1, 2, 4, 8, 16)
D) 9 (1, 3, 9)
Which of the following are multiples of 6?
Choose two that apply.
A) 42
B) 6
C) 72
D) 47
A) 42 (6 x 7 = 42)
C) 72 (6 x 12 = 72)
Is the number 21 prime or composite?
Provide evidence.
Composite.
Evidence:
1 x 21 = 21
3 x 7 = 21
* 21 has more than 2 factors.
Kids have been raising money for the Boones Ferry Fun Run. By the end of day one, Mr. D's class raised $95. Mr. Sweet's class raised $5.
How many times as much money did Mr. D's class raise than Mr. Sweet's class?
A) 475 times
B) 100 times
C) 19 times
D) 5 times
C) 19 times
Mr. D's class raised 19 times as much money.
Evidence:
5 x ____ = 95
5 x 19 = 95 (5 x 20 = 100)
A fence is 3 feet wide and 24 feet long. How many times longer is the length of the fence than the width?
A) 27 times
B) 72 times
C) 8 times
D) 3 times
C) 8 times
The fence is 8 times longer than it is wide.
Evidence:
3 x _____ = 24
3 x 8 = 24
Complete the factor pairs for 48.
_______ and 48
6 and _______
___1____ and 48
6 and ____8____
Yes or No?
Is 45 a multiple of 7?
Is 77 a multiple of 7?
Is 85 a multiple of 7?
Is 17 a multiple of 7?
Is 45 a multiple of 7? No 7 x ___ = 45
Is 77 a multiple of 7? Yes, 7 x 11 = 77
Is 85 a multiple of 7? No, 7 x 12 = 84
Is 17 a multiple of 7? NO, 7 x ____ = 17
Which numbers are prime and which numbers are composite? Provide evidence.
A) 29
B) 31
C) 52
A) 29 is prime.
Evidence:
1 x 29 = 29
2 x = 29 (nothing)
3 x = 29 (nothing)
* 29 is not divisible by any number other than 1.
B) 31 is prime.
Evidence:
1 x 31 = 31
2 x = 31 (nothing)
3 x = 31 (nothing)
* 31 is not divisible by any number other than 1.
C) 52 is composite.
Evidence: 52 is an even number.
Which of the following sentences describe a comparison using multiplication? Choose all three that apply?
A) 12 is 2 more than 10.
B) A cheetah can run twice as fast as a giraffe.
C) There are 3 times as many roses as tulips.
D) The pens cost $2 more than the pencils.
E) 77 is 7 times more than 11.
B) twice as fast
C) 3 times as many
E) 7 times more
It takes Jordan 48 minutes to drive to his grandpa's house. It takes him 6 minutes to drive to school.
Which equation could you use to find out how many times longer it takes Jordan to drive to his grandpa's house than to drive to school?
A) 48 - 6 = ?
B) ? x 48 = 6
C) 48 = 6 x ?
D) 6 x 48 = ?
C) 48 = 6 x ?