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Divisibility, GCF, LCM, and Exponents

Total questions: 31

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
Which of the following is an even number?
a)
1
b)
4
c)
5
d)
9
2.
How do you know if a number is divisible by 3?
a)
The last digit is a 0 or 5.
b)
If it ends in 3, 6, or 9
c)
If it is an even number
d)
The sum of the digits is a multiple of 3.
3.
The divisibility rule for 9 is...
a)
Divide the whole thing by nine
b)
The sum of the digits is a multiple of 9.
c)
Multiply the digits together by 9
d)
Add the digits together and then add 9.
4.
What is the divisibility rule for 5?
a)
The digits must add up to 10.
b)
The last digit needs to be a 5 or 0.
c)
The last digit can only be a 5.
d)
The sum of the digits need to be divisible by 5.
5.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
6.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
7.
Which of the following numbers is NOT divisible by 3?
a)
1200
b)
1566
c)
3024
d)
5071
8.
All of these are prime except
a)
3
b)
9
c)
2
d)
13
9.
Which of these is NOT a factor of 36?
a)
2
b)
8
c)
12
d)
6
10.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
11.
Find the GCF of 6 and 24. 
a)
2
b)
3
c)
1
d)
6
12.
GCF of 99 and 54
a)
9
b)
3
c)
6
d)
8
13.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
14.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
15.

What is a factor?

a)

A number that you subtract from another number.

b)

A number with more than 2 multiples

c)

A number that divides evenly into another number.

d)

A number that you add to another number.

16.

The teachers were making goody bags of candy. They have 36 packs of skittles and 24 packs of starbursts. What is the greatest number of goody bags they can make so that every bag has the same number of packs of skittles and same number of packs of starbursts, with none left over?

a)

6 bags

b)

4 bags

c)

12 bags

d)

72 bags

17.

Colt is riding his bike around the park and Audrey is jogging around the same park. Colt can complete a lap in 4 minutes and Audrey can complete a lap in 10 minutes. They started at the same time from the same place. How long will it be until they meet again at the starting place?

a)

10 minutes

b)

20 minutes

c)

30 minutes

d)

40 minutes

18.

Is 15 a prime or composite number or neither?

a)

prime

b)

composite

c)

neither

19.

What is the Least Common Multiple (LCM) of 6 & 24?

a)

6

b)

4

c)

24

d)

12

20.

What is the greatest common factor (GCF) of 7 & 16?

a)

7

b)

1

c)

16

d)

112

21.

What is the greatest common factor (GCF) of 75 & 25?

a)

5

b)

15

c)

100

d)

25

22.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
23.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
24.
What are the factors for 54?
a)
5 x 5 x 5
b)
4 x 4 x 4 x 4 x 4
c)
5 x 5 x 5 x 5
25.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
26.
What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4
a)
64
b)
42
c)
46
d)
4 x 6
27.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
28.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
29.

What is 10x10x10x10x10x10 in exponential form?

a)

10810^8

b)

10510^5

c)

10710^7

d)

10610^6

30.

Complete the sentence:

Any number raised to the power of 1 is equal to _________________.

a)

The number itself

b)

1

c)

Indeterminate

d)

10

31.

What is the expanded form of 434^3 ?

a)

4x4x4x4

b)

4x4

c)

4x4x4

d)

4x4x4x4x4x4x4

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