Answers
Question 1
a) $1,2,3,6$
b) $1,2,4,8$
c) $1,2,5,10$
d) $1,2,3,4,6,12$
e) $1,2,4,5,10,20$
f) $1,5,25$
g) $1,3,5,9,15,45$
h) $1,2,3,4,6,8,9,12,18,24,36,72$
Question 2
a) $1,2$
b) $1,5$
c) $1,11$
d) $1,17$
e) $1,29$
f) They are all prime numbers. The definition of a prime number is that it has two factors ($1$ and itself). Therefore they will always produce $2$ factors.
Question 3
a) $1,3,9$
b) $1,2,3,4,6,9,12,18,36$
c) $1,7,49$
d) $1,3,9,27,81$
e) $1,2,4,5,10,20,25,50,100$
f) They are all square numbers. They will produce an odd number of factors as one of their factors when squared gives the number.
Question 4
a) $1,2,5,10,25,50$
b) $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$
c) $1, 2, 4, 8, 11, 22, 44, 88$
d) $1, 5, 19, 95$
e) $1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120$
f) $1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180$
Question 5
a) $0,3,6,9,12$
b) $0,5,10,15,20$
c) $0,10,20,30,40$
d) $0,9,18,27,36$
e) $0,7,14,21,28$
f) $0,12,24,26,48$
Question 6
a) $0,6,12,18,24,30,36,42,48,54$
b) $0,11,22,33,44,55,66,77,88,99$
c) $0,20,40,60,80,100,120,140,160,180$
d) $0,25,50,75,100,125,150,175,200,225$
e) $0,1000,2000,3000,4000,5000,6000,7000,8000,9000$
f) $0,17,34,51,68,85,102,119,136,153$
Question 7
a) True
b) False
c) True
d) True
e) False
f) True
Question 8
a) True
b) False
c) True
d) True
e) True
f) False
Question 9
a) Prime
b) Composite
c) Prime
d) Prime
e) Prime
f) Composite
Question 10
a) $-15,-5,-3,-1,1,3,5,15$
b) $-24,-12,-8,-6,-4,-3,-2,-1,1,2,3,4,6,8,12,24$
c) $-28,-14,-7,-4,-2,-1,1,2,4,7,14,28$
d) $-30,-15,-10,-6,-5,-3,-2,-1,1,2,3,5,6,10,15,30$
e) $-55,-11,-5,-1,1,5,11,55$
f) $-1, -2, -3, -6, -13, -26, -39, -78,1, 2, 3, 6, 13, 26, 39, 78$
Question 11
a) $-10,-8,-6,-4,-2,0,2,4,6,8,10$
b) $-25,-20,-15,-10,-5,0,5,10,15,20,25$
c) $-50,-40,-30,-20,-10,0,10,20,30,40,50$
d) $-55,-44,-33,-22,-11,0,11,22,33,44,55$
e) $-45,-36,-27,-18,-9,0,9,18,27,36,45$
f) $-95,-76,-57,-38,-19,0,19,38,57,76,95$
Question 1
List all factors for the following numbers:
a) $6$
b) $8$
c) $10$
d) $12$
e) $20$
f) $25$
g) $45$
h) $72$
Question 2
List all factors for the following numbers:
a) $2$
b) $5$
c) $11$
d) $17$
e) $29$
f) What is special about these numbers? How many factors do they produce?
Question 3
List all factors for the following numbers:
a) $9$
b) $36$
c) $49$
d) $81$
e) $100$
f) What is special about these numbers? How many factors do they produce?
Question 4
List all factors for the following numbers:
a) $50$
b) $60$
c) $88$
d) $95$
e) $120$
f) $180$
Question 5
List the first $5$ multiples for the following numbers (
remember $0$!):
a) $3$
b) $5$
c) $10$
d) $9$
e) $7$
f) $12$
Question 6
List the first $10$ multiples for the following numbers:
a) $6$
b) $11$
c) $20$
d) $25$
e) $1000$
f) $17$
Question 7
Are the following statements true or false?
a) $2$ is a factor of $18$
b) $3$ is a factor of $19$
c) $5$ is a factor of $75$
d) $14$ is a factor of $140$
e) $4$ is a factor of $86$
f) $11$ is a factor of $143$
Question 8
Are the following statements true or false?
a) $12$ is a multiple of $4$
b) $29$ is a multiple of $3$
c) $0$ is a multiple of $104$
d) $36$ is a multiple of $9$
e) $45$ is a multiple of $15$
f) $48$ is a multiple of $13$
Question 9
Classify the following numbers as prime or composite:
a) $5$
b) $6$
c) $11$
d) $29$
e) $37$
f) $87$
Question 10
Negative numbers can also be factors! Using this information find the factors for:
a) $15$
b) $24$
c) $28$
d) $30$
e) $55$
f) $78$
Question 11
Negative numbers can also be multiples! Using this information find the $11$ multiples of the following numbers nearest $0$ ($5$ multiples above and below $0$):
a) $2$
b) $5$
c) $10$
d) $11$
e) $9$
f) $19$
Answers
Question 1
a) $1,2,3,6$
b) $1,2,4,8$
c) $1,2,5,10$
d) $1,2,3,4,6,12$
e) $1,2,4,5,10,20$
f) $1,5,25$
g) $1,3,5,9,15,45$
h) $1,2,3,4,6,8,9,12,18,24,36,72$
Question 2
a) $1,2$
b) $1,5$
c) $1,11$
d) $1,17$
e) $1,29$
f) They are all prime numbers. The definition of a prime number is that it has two factors ($1$ and itself). Therefore they will always produce $2$ factors.
Question 3
a) $1,3,9$
b) $1,2,3,4,6,9,12,18,36$
c) $1,7,49$
d) $1,3,9,27,81$
e) $1,2,4,5,10,20,25,50,100$
f) They are all square numbers. They will produce an odd number of factors as one of their factors when squared gives the number.
Question 4
a) $1,2,5,10,25,50$
b) $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$
c) $1, 2, 4, 8, 11, 22, 44, 88$
d) $1, 5, 19, 95$
e) $1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120$
f) $1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180$
Question 5
a) $0,3,6,9,12$
b) $0,5,10,15,20$
c) $0,10,20,30,40$
d) $0,9,18,27,36$
e) $0,7,14,21,28$
f) $0,12,24,26,48$
Question 6
a) $0,6,12,18,24,30,36,42,48,54$
b) $0,11,22,33,44,55,66,77,88,99$
c) $0,20,40,60,80,100,120,140,160,180$
d) $0,25,50,75,100,125,150,175,200,225$
e) $0,1000,2000,3000,4000,5000,6000,7000,8000,9000$
f) $0,17,34,51,68,85,102,119,136,153$
Question 7
a) True
b) False
c) True
d) True
e) False
f) True
Question 8
a) True
b) False
c) True
d) True
e) True
f) False
Question 9
a) Prime
b) Composite
c) Prime
d) Prime
e) Prime
f) Composite
Question 10
a) $-15,-5,-3,-1,1,3,5,15$
b) $-24,-12,-8,-6,-4,-3,-2,-1,1,2,3,4,6,8,12,24$
c) $-28,-14,-7,-4,-2,-1,1,2,4,7,14,28$
d) $-30,-15,-10,-6,-5,-3,-2,-1,1,2,3,5,6,10,15,30$
e) $-55,-11,-5,-1,1,5,11,55$
f) $-1, -2, -3, -6, -13, -26, -39, -78,1, 2, 3, 6, 13, 26, 39, 78$
Question 11
a) $-10,-8,-6,-4,-2,0,2,4,6,8,10$
b) $-25,-20,-15,-10,-5,0,5,10,15,20,25$
c) $-50,-40,-30,-20,-10,0,10,20,30,40,50$
d) $-55,-44,-33,-22,-11,0,11,22,33,44,55$
e) $-45,-36,-27,-18,-9,0,9,18,27,36,45$
f) $-95,-76,-57,-38,-19,0,19,38,57,76,95$