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WorksheetsMath 6/7 Prime, GCF, LCM
Total questions: 30
Worksheet time: 8hrs 30mins
Name
Class
Date
1.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
2.
Composite numbers:
a)
All even numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
3.
Find the prime factorization of 36
a)
4 ⋅ 9
b)
22 ⋅ 23
c)
22 ⋅ 32
d)
32 ⋅ 4 ⋅ 5
4.
Find the prime factorization of 64
a)
43
b)
26
c)
24 ⋅ 32
d)
82
5.
Find the prime factorization of 60
a)
4 ⋅ 15
b)
33 ⋅ 5
c)
22 ⋅ 3 ⋅ 5
d)
23 ⋅ 5
6.
Find the prime factorization of 250
a)
2 ⋅ 125
b)
23 ⋅ 5 ⋅ 7
c)
2 ⋅ 53
d)
2 ⋅ 35
7.
Find the prime factorization of 81
a)
34
b)
43
c)
811
d)
32 ⋅ 23
8.
What are the prime factors of 30?
a)
3, 2, 5
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
9.
Which number is NOT prime?
a)
3
b)
7
c)
17
d)
21
10.
GCF of 15 and 35
a)
15
b)
3
c)
7
d)
5
11.
GCF of 12 and 28
a)
3
b)
6
c)
2
d)
4
12.
GCF of 36 and 99
a)
9
b)
6
c)
11
d)
4
13.
GCF of 24x + 36y
a)
12
b)
x & y
c)
24
d)
6
14.
GCF of 16y + 40
a)
4
b)
8
c)
8y
d)
10
15.
GCF of 11ab + 32ab
a)
11
b)
11ab
c)
ab
d)
2ab
16.
Find the Least Common Multiple of 4 & 14.
a)
14
b)
20
c)
28
d)
42
17.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
18.
Find the LCM of 42 and 66
a)
2772
b)
6
c)
462
d)
132
19.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
20.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
21.
During the winter months, Starbucks has a sale every 4 days and McCafe has a sale every 5 days. If stores had a sale today, when is the next time both stores will have sales on the same day?
a)
1 day
b)
8 days
c)
40 days
d)
20 days
22.
Havier's Bakery sells donuts in packages of 3 and cookies in packages of 5. Today the bakery sold the same number of donuts and cookies. What is the smallest number of donuts that the bakery could have sold?
a)
5
b)
30
c)
15
d)
6
23.
Find the Greatest Common Factor (GCF) OF 12, 18 & 30
a)
1
b)
3
c)
6
d)
12
24.
Find the LCM of each set of numbers.
5, 10, 15
5, 10, 15
a)
50
b)
30
c)
90
d)
150
25.
Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?
a)
24 days
b)
36 days
c)
42 days
d)
52 days
26.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
27.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
28.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100
29.
Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?
a)
10 inches
b)
20 inches
c)
30 inches
d)
40 inches
30.
The pet shop is putting together goody bags to send to different shelters. They have 36 chew toys, 24 dog bones and 18 chase toys for cats. What is the maximum number of goody bags will they be able to make to send to shelters?
a)
4 bags
b)
8 bags
c)
6 bags
d)
12 bags
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