WORKSHEET ON FACTORS
How to Find Factors of a Number
Problem 1 :
List all the factors of :
a) 10
b) 18
c) 30
d) 44
e) 56
f) 50
g) 84
Problem 2 :
Find the prime factors of 15.
Problem 3 :
Find the prime factors of 14
Problem 4 :
Find the prime factors of 33
Find the missing factors of the following :
Problem 5 :
Problem 6 :
Problem 7 :
Problem 8 :
Complete the factorizations below.
a) 24 = 6 x ….
b) 25 = 5 x ….
c) 100 = 5 x ….
d) 88 = 11 x ….
Problem 9 :
Write the largest factor other than itself, for each of the following numbers.
a) 12
b) 18
c) 27
d) 48
Problem 10 :
What is the smallest whole number which:
a) has factors of 2, 3 and 5
b) has factors of 3, 5 and 7
c) has factors of 2, 3, 5 and 7
Problem 11 :
Which pair of numbers has a GCF of 15?
a) 10, 15 b) 30, 60 c) 21, 45 d) 45, 75
Answer Key
1)
a) the factors of 10 are 1, 2, 5 and 10.
b) the factors of 18 are 1, 2, 3, 6, 9 and 18.
c) the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
d) the factors of 44 are 1, 2, 4, 11, 22 and 44.
e) the factors of 44 are 1, 2, 4, 7, 8, 14, 28 and 56.
f) the factors of 50 are 1, 2, 5, 10, 25 and 50
g) the factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
2)
3)
4)
5)
6)
7)
8)
a) 24 = 6 x 4
b) 25 = 5 x 5
c) 100 = 5 x 20
d) 88 = 11 x 8
9)
a) The largest factor of 12 is 6.
b) The largest factor of 18 is 9.
c) The largest factor of 27 is 9.
d) The largest factor of 48 is 24.
10)
a) the required smallest number is 30, which has the factors 2, 3 and 5.
b) the required smallest number is 105, which has the factors 3, 5 and 7.
c) the required smallest number is 210, which has the factors 2, 3, 5 and 7.
11) Option (d) 45, 75
Problem 1 :
Is 8 a factor of 24 ?
Problem 2 :
Is 5 a factor of 43 ?
Problem 3 :
Is 7 a factor of 34 ?
Problem 4 :
Is 9 a factor of 72 ?
Problem 5 :
List all factors of 20.
Problem 6 :
Write the largest factor of (other than itself)
a) 14 b) 27 c) 56 d) 44 e) 75 f) 90
Problem 7 :
Buses arrive at a sports stadium every 8 minutes and train arrives every 14 minutes. A bus and a train have just arrived simultaneously. How long will it be before this happens again ?
Problem 8 :
List the first six multiples of
a) 4 b) 9 c) 10 d) 15 e) 22 f) 35
Problem 9 :
Find the
a) seventh multiple of 6
b) sixth multiple of 11
c) eleventh multiple of 15
d) hundredth multiple of 99.
Problem 10 :
a) Find the smallest multiple of 7 that is greater than 500
b) Find the greatest multiple of 12 that is less than 1000.
Answer Key
1) 3 is a factor of 24.
2) 5 is not a factor of 43.
3) 7 is not a factor of 34.
4) 9 is the factor of 72.
5) factors of 20 are 1, 2, 4, 5, 10 and 20.
6) a) Largest factor of 14 other than itself is 7.
b) Largest factor of 27 other than itself is 9.
c) Largest factor of 56 other than itself is 28.
d) Largest factor of 44 other than itself is 22.
e) Largest factor of 75 other than itself is 25.
f) Largest factor of 90 other than itself is 30.
7) after 48 minutes both bus and train will arrive the stadium.
8)
a) Multiples of 4 :
4, 8, 12, 16, 20, 24, ..............
b) Multiples of 9 :
9, 18, 27, 36, 45, 54, ..............
c) Multiples of 10 :
10, 20, 30, 40, 50, 60, ..............
d) Multiples of 15 :
15, 30, 45, 60, 75, 90, ...............
e) Multiples of 22 :
22, 44, 66, 88, 110, 132, ...........
f) Multiples of 35 :
35, 70, 105, 140, 175, 210, ............
9)
a) 42 is the 7th multiple of 6.
b) 66 is the 6th multiple of 6.
c) 165 is the 11th multiple of 15.
d) 9900 is the 100th multiple of 99.
10)
a) the smallest multiple of 7 and that is greater than 500 is 504.
b) the largest multiple of 12 and it is less than 1000 is 996.
Recent Articles
-
Finding Range of Values Inequality Problems
May 21, 24 08:51 PM
Finding Range of Values Inequality Problems -
Solving Two Step Inequality Word Problems
May 21, 24 08:51 AM
Solving Two Step Inequality Word Problems -
Exponential Function Context and Data Modeling
May 20, 24 10:45 PM
Exponential Function Context and Data Modeling