Divisibility Rules
Prime/Composite
Patterns
Factors
Multiples
100
Classify the numbers. Some numbers may belong in more than one column. 24 36 45 54 63 Divisible by 3 & 9 ---Divisible by 5 & 9---Divisible by 2 & 6
Divisible by 3 and 9: 36, 54, 63 Divisible by 5 and 9: 45 Divisible by 2 and 6: 36, 24, 54
100
The number 1 is: A. prime B. composite C. both prime and composite D. neither prime nor composite
D. neither prime nor composite
100
Robert wrote the number 28. If his rule is add 4, what is the third number in the Robert’s pattern?
36
100
Which number does NOT have a factor of 9? A. 18 B. 36 C. 72 D. 41
D. 41
100
Determine which statements are true or false. A. The number 45 is a multiple of 9. B. The number 6 is a factor 36. C. The number 42 is a multiple of 8. D. The number 7 is a factor of 28.
A. The number 45 is a multiple of 9. True B. The number 6 is a factor 36. True C. The number 42 is a multiple of 8. False D. The number 7 is a factor of 28. True
200
Classify the numbers. Some numbers may belong in more than one column. 27 44 72 90 99 Divisible by 2---------Divisible by 5----------Divisible by 9
Divisible by 2: 44, 72 Divisible by 5: 90 Divisible by 9: 27, 99, 72
200
Chose the words that make the sentence true. The number 14 is (prime, composite) because it has (exactly, more than) two factors.
Composite, more than
200
Ashley wrote the number 40 on the board. If the rule is subtract 2, what is the sixth number in Ashley’s pattern?
30
200
Which number does NOT have a factor of 5? A. 50 B. 25 C. 62 D. 95
C. 62
200
Sara and Michael were playing a game. Sara was counting by 3’s. Michael was counting by 8’s. They paced the counting so that they would say the first common number together. What is the first number that both said together? A. 16 B. 24 C. 32 D. 48
B. 24
300
In a math game, Grace reads four statements about the number 45. She has to pick all the statements that are true to win the game. Which statements should grace choose? A. 45 is divisible by 2 B. 45 is divisible by 3 C. 45 is divisible by 5 D. 45 is a prime number
B. 45 is divisible by 3 C. 45 is divisible by 5
300
Choose the words that make the sentence true. The number 17 is (prime, composite) because it has (exactly, more than) two factors.
Prime, exactly
300
Sara wrote a row of numbers with a pattern. 54,52,58,56,62,60,66…What is the rule for the pattern?
Subtract 2, Add 6
300
Gina’s homework assignment was to find all the common factors of 24 and 36. Gina made a list of all the factors of 24 and 36. She used the list to find the factors the two numbers had in common. Which list shows the common factors Gina found? A. 1,2,3,4,6,8,12,24 B. 1,2,4,6,8,9,12,24 C. 1,2,3,4,6,12 D. 1,6,8,12
C. 1,2,3,4,6,12
300
Jason and Jessie were playing a counting game. Jessie was counting by 6’s and Jason was counting by 9's. If they paced themselves so that they could say the first common multiple of 6 and 9 together what number would they both say first? A. 12 B. 18 C. 36 D. 42
B. 18
400
In a math game, Shaun reads four statements about the number 57. He has to pick the true statement to win the game. Which statement should Shaun choose? A. 57 is divisible by 2 B. 57 is divisible by 3 C. 57 is divisible by 5 D. 57 is a prime number
B. 57 is divisible by 3
400
Clara tells her friend that she is learning about composite numbers in math class. Her friend writes down 4 numbers and asks Clara to choose the composite number. Which number should Clara choose? A. 19 B. 29 C. 41 D. 55
D. 55
400
Use the rule to write the first five terms of the pattern. Rule: Add 6, subtract 2 First term: 15
15, 21, 19, 25, 23
400
Jared has a coloring collection with 28 crayons, 42 colored pencils, and 56 markers. He wants to organize the coloring items in equal boxes with only one coloring item in each box. How many can he put in each box? Mark ALL that apply. A. 1 B. 2 C. 4 D. 7 E.14
A. 1 B. 2 D. 7 E. 14
400
Mr. Smith wrote a bonus problem on the board. If Jason correctly answers, he will get extra center time. The problem is to write a statement that correctly relates the numbers 3 and 9. Which could Jason write? A. 9 is factor of 3. B. 3 is a multiple of 9. C. 9 is a common multiple of 3 and 9. D. 12 is a common multiple of 3 and 9.
C. 9 is a common multiple of 3 and 9.
500
Lauren was decorating her playroom. She arranged 51 picture tiles on a wall in the shape of a rectangle. Choose which arrangement of picture tiles would be best for her playroom. A. 17 rows of 3 tiles B. 22 rows of 2 tiles C. 10 rows of 5 tiles D. 5 rows of 9 tiles
A. 17 rows of 3 tiles
500
Toby tells his friend that he is learning about prime numbers in math class. His friend writes down 4 numbers and asks Toby to choose the prime number. Which number should Toby choose? A. 33 B. 31 C. 39 D. 27
B. 31
500
Ryan and Becca made a secret code. They wrote some numbers of the code so they could remember the pattern. 8, 12,9,13,10,14,11,15 What should the next number be?
12 Pattern: Add 4, Subtract 3
500
Jacob has a train collection with 24 engines, 36 boxcars, and 48 cabooses. He wants to arrange the train cars in equal rows with only one type of train car in each row. How many can he put in each row? Mark ALL that apply. A. 1 B. 6 C. 3 D. 8 E. 12 F. 4
A. 1 B. 6 C. 3 E.12 F. 4
500
A store in Kelly’s neighborhood sells boxes of crayons that have 9 pencils in each box. Kelly bought several boxes of crayons at the store. Which could be the number of pencils he bought? Mark ALL that apply. A. 18 B. 24 C. 27 D. 32 E. 36
A. 18 B. 27 E. 36
M
e
n
u