Download factor and multiple test - Grade6-Math

Student Name
Date
Grade 6 Math Test
Factors and multiples
PART A: Multiple Choice – Please circle the one answer that you think is correct.(18 marks)
1. Square numbers are:
a) always odd
c) neither odd nor even
b) always even
d) either odd or even
2. The least common multiple of 3 and of 8 is _______.
a. 11
b. 16
c. 18
d. 24
3. The first 4 triangular numbers are 1, 3, 6 and 10. What is the eighth triangular number?
A. 15
B. 22
C. 36
D. 63
4. Which of these numbers is prime?
A. 27
B. 37
C. 57
D. 77
5. Common factors of 12 and 48 are:
A. 1, 3, 6, 24
B. 1, 3, 4, 6
C. 1, 2, 12, 48
D. 1, 3, 12, 48
6. Which of the following sets of numbers contains only prime numbers?
A. 3, 8, 11, 17, 21
B. 2, 5, 7, 18, 24
C. 5, 7, 11, 13, 17
D. 3, 5, 17, 19, 27
7. Tony added two prime numbers. Their sum was 48. Which can be one of the numbers?
A. 2
B. 3
C. 13
D. 17
8. A number has a 3 in its ones place. What MIGHT be true about the number?
A. 2 might be a factor of the number
B. 3 might be a factor of the number
C. 5 might be a factor of the number
D. 10 might be a factor of the number
9. Which number is divisible by 5?
A. 356
B. 554
C. 265
D. 102
10. What are ALL the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 2, 3, 4, 6, 8, 24
C. 2, 3, 4, 6, 24
D. 1, 2, 3, 4, 6, 8, 12
11. Which number has only 3 factors?
A. 12
B. 16
C. 25
D. 3
12. What is the LCM of 6 and 9?
A. 3
B. 36
C. 54
D. 18
13. Which number is divisible by 9?
A. 920
B. 420
C. 990
D. 1
14. Which number has EXACTLY 5 factors?
A. 9
B. 5
C. 25
D. 16
15. What is the GCF of 18 and 27?
A. 3
B. 9
C. 6
D. 18
2
16. 4212 is divisible by which number?
A. 5
B. 10
C. 3
D. 7
17. What is the prime factorization of 42?
A. 2 X 3 X 7
B. 6 X 7
C. 6 X 4 X 2
D. 8 X 2 X 3
18. Which of the following is a composite number?
A. 3
B. 2
C. 57
D. 19
PART B – MAKE SURE TO ANSWER ALL OF THE FOLLOWING QUESTIONS. YOU MUST
SHOW YOUR WORK.
1. a). Draw the first three square numbers. (6 marks)
b). How you could figure out the 15th number in the pattern WITHOUT using drawings. (4 marks)
2. Are there more prime numbers between 40 and 50 or between 60 and 70? SHOW/EXPLAIN your
answer! (5 marks)
3
3. a). Draw the first three triangular numbers. (6 marks)
b). How could you figure out the 11th triangular number WITHOUT using drawings. (4 marks)
4. Give a number that has at least 8 factors. List the factors of your number. (6 marks)
5. Complete the following with two prime numbers: (4 marks)

 32
6. Johnny and Khalin attend the first home game of the St. John Sea Dogs together. After that
Johnny attends every third home game and Khalin attends every second game. If the Sea Dogs play
32 home games in the season how many games will they both attend together ? (8 marks)
4
7. Name the following numbers as prime or composite: (9 marks)
a). 19 - ______________
b). 51 - _____________
c). 39 - ____________
d). 57 - ______________
e). 49 - _____________
f). 175 - ____________
g). 102 - ____________
h). 2 - ______________
i). 33 - ____________
8. Find the G.C.F. for each pair of numbers. You can do it by listing factors or using factor trees.
(16 marks)
a). 16 and 24
b). 12 and 18
c). 24 and 32
d). 16 and 64
9. Find the L.C.M. (Least Common Multiple) of each set of numbers. (6 marks)
a). 3 and 5
b). 9 and 12
5
8. Make factor trees for each of the following numbers: (8 marks)
a).
32
b).
63
c).
64
d).
100
BONUS
What is the least number that leaves a remainder of 3 when divided by 5, a remainder
of 2 when divided by 4, a remainder of 1 when divided by 3, and a remainder of 0
when divided by 2?
6