Fun Factors
List all the factors of 24
1, 24, 8, 3, 6, 4, 2, 12
List five multiples of 6:
Example: 6, 12, 18, 24, 30
Which numbers are prime?
29, 3, 44, 26, 7, 32, 4
29, 7, 3
Rule: Add 8
Start with 14, List 7 numbers in the pattern
14, 22, 30, 38, 46, 54, 61
What is the difference between a factor and a multiple?
Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction).
Which numbers have a factor of 7?
7, 12, 21, 14, 1
7, 21,14
What is a multiple of 9 and also a factor of 9?
9
What is the definition of a prime number?
A number with only two factors!
Rule: Subtract 7
Start with 95, List 7 numbers in the pattern
95, 88, 81, 74, 67, 60, 53
Amir arranged 9 photos on a bulletin board. He wants to put in the photos in rows. Each row has the same number of photos. How many ways could he arrange the photos?
3 ways, in 1, 3, or 9 photos
List the factor pairs of 42.
1,42
2, 21
3,14
6,7
True or False?
The number 4 is a multiple of 16?
False
Is 85 a prime or composite? Why?
Yes, because it has more than 2 factors, its factors are 1, 5, 17, and 85.
Rule: Add 15, subtract 10
Start with 4, List 7 numbers in the pattern
4, 19, 9, 24, 14, 29, 19
If I am skipping counting by 12s and start at 24, how many times will I have to count to get to 144?
10 times
Use a knowledge of factors to solve the problems:
Sean plants 28 tomato plants in rows. All the row contain the same number of plants. There are between 5 and 12 plants in each row. How many plants are in each row?
7 plants in each row
Ms. Iverson was skip counting by 7s. She said 7,14,21,28,35, 42. What will she say next?
49
Is the number 5 prime, composite, or neither?
Prime
Rule: Subtract 7, Add 9
Start with 11 , List 7 numbers in the pattern
11, 4, 13, 6, 15, 8, 17
If Jay made 32 cookies on Tuesday, then made 22 cookies a day Wednesday through Friday, how many does he have on Saturday?
98 cookies
Use your knowledge of factors to solve:
Sandy has 16 roses, 8 daisies, and 32 tulips. She wants to arrange them all in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in each bouquet?
8 flowers
Christopher made 13 drawings on Monday. Tuesday through Friday he made 6 drawings a day. How many drawings did he have in total on Saturday?
37 drawings
Is the number 1 prime, composite, or neither?
neither
An artist is arranging tiles in rows to decorate a wall. Each new row has 2 fewer tiles than the one below it. If the first row has 23 tiles, how many tiles does the 7th row have?
11 tiles
Brady has a card collection with 64 baseball cards, 32 football cards, and 24 baseball cards. He wants to arrange the cards in equal piles with only one type of card per pile. What are two ways he can arrange the piles?
1, 2, 4, 8