Factors and Multiples Worksheet for Class 4 with Answers
Worksheet 1
1.
Fill in the blanks.
a. 30 = 1 × _____
30 = 2 × _____
30 = _____ × 10
30 = _____ × 5
Factors of 30 are
______________
b. 36 = _____ ×
36
36 = 2 × _____
36 = 3 × _____
36 = 4 × _____
36 = 6 × _____
Factors of 36 are
______________
c. 56 = 1 × _____
56 = 2 × _____
56 = _____ × 14
56 = _____ × 8
Factors of 56 are
______________
d. 81 = _____ ×
81
81 = 3 × _____
81 = _____ × 9
Factors of 81 are _______________
2.
Find the factors of the following numbers.
a. 24
= ________________
b. 36 = ________________
c. 42 = ________________
d. 35 = ________________
3. Write the factors of the given numbers.
a. 40: _____________
b. 28: _____________
c.
36: _____________
d. 68: _____________
e. 72: _____________
f. 96: _____________
4. List the common factors and find the HCF.
a. 9:
____________
15: ____________
HCF = ____
b. 18:
____________
4: ____________
HCF = ____
c. 15:
____________
35: ____________
HCF = ____
5. Check if the first number is a factor of the second number. If yes, put a tick or else put a cross
a. 5, 60_______
b. 3, 15________
c. 9, 72_________
d. 8, 36__________
e. 6, 32___________
f. 3, 22__________
g. 7, 63__________
h. 4, 34__________
6. Circle the number which is the HCF in each of
the following pairs.
a. 10, 30
b. 15, 45
c. 18, 36
d. 54, 108
e. 42, 126
f.
100, 1000
7. Find the factors of the following numbers using
division as well as multiplication methods.
a. 32 :
_____________________________________
b. 66 :
_____________________________________
c. 75 :
_____________________________________
d. 81 :
_____________________________________
e. 93 :
____________________________________
8. Fill in the blanks.
a. Every number is a multiple of _______ and
________.
b. The multiples of any number are
_____________________.
c. The multiples of 10 between 30 and 90 are
_____________.
d. The
multiples of 7 below 84 are ______________________.
9. Draw factor trees of the following
numbers.
a. 80 b. 30
c. 18 d. 45
e. 54 f. 60
g. 72 h. 28
i. 42 j. 50
10. Find next three multiples of the following numbers.
a. 8: 8, 16, 24, ___, ___, ___,
b. 12: 12, 24, 36, ___, ___, ___,
c. 9: 9, 18, 27, ___, ___, ___,
d. 15: 15, 30, 45, ___, ___, ___,
11. Find the common factors of the following
pairs of numbers.
a. 24, 36 b. 32, 8
c. 12, 20 d. 48, 72
e. 21, 28 f. 10, 25
g. 54, 26 h. 25, 40
Worksheet 2
1. Form multiples of the following odd numbers.
a. 7: 7, 14, 21, ___, ___, ___,
b. 11:
11 22, 33, ___, ___, ___,
c. 5: 5, 10, 15, ___, ___, ___,
d. 17:
17, 34, 51, ___, ___, ___,
2. Circle
the prime numbers and cross out the composite numbers.
13 15
20 23 31
35 17 99
47 72 7 81
19 5 29
37 64 58
3. Find out the LCM of the following numbers.
a. 3 and 7
Multiples of 3 =
_____________
Multiples of 7 = _____________
Common multiples = ________
LCM = __________________
b. 4 and 12
Multiples of 4 = _____________
Multiples of 12 = _____________
Common multiples = ___________
LCM = ____________________
4. List all the prime numbers between 1 and 20.
5. Which is the smallest prime number?
6. Find the LCM for these sets of three numbers.
a. 3, 4, 6 b. 3, 8, 12
c. 6, 7, 12 d. 3, 5, 6
7. Find the HCF of the following pairs of numbers.
a. 27, 24 b. 50, 100
c. 28, 40 d. 25, 35
8. Write down the first ten multiples of 4 and 5.
Also circle the common multiples.
9. Fill in the blanks.
a. A number is
divisible by 10, if it ends with ________.
b. A number is
divisible by 5, if it ends with ________ or ________.
c. A number is divisible
by 2, if it is ________.
d. If the digits of a number add up to
a multiple of ________, then the number is divisible by 3.
e. If a number is divisible by ________ and ________ , it is
divisible by 6.
10. Find the first 8 multiples of the following
numbers and circle the common multiples, if any.
a. 4 and 2 b. 5 and 4
c. 3 and 9 d. 5 and 6
ANSWERS
Worksheet 1
1. a. 30; 15; 3; 6;
1, 2, 3, 5, 6, 10, 15, 30
b. 1; 18; 12; 9; 6;
1, 2, 3, 4, 6, 9, 12, 18, 36
c. 56; 28; 4; 7;
1, 2, 4,
7, 8, 14; 28, 56
d. 1; 27; 9;
1, 3, 9, 27,
81
2. a. 1, 2, 3, 4, 6, 8, 12, 24
b. 1, 2, 3, 4, 6, 9, 12, 18, 36
c. 1, 2, 3, 6, 7, 14, 21, 42
d. 1, 5, 7, 35
3. a. 1, 2, 4, 5, 8, 10, 20, 40
b. 1, 2, 4, 7, 14, 28
c. 1, 2, 3, 4, 6, 9, 12, 18, 36
d. 1, 2, 4, 17, 24, 68
e. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
f. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
4. a. HCF = 3
b. HCF = 2
c. HCF = 5
5. a. √ b. √
c. √ d. X
e. X f. X
g. √ h. X
6. a. 10 b. 15
c. 18 d. 54
e. 42 f. 100
7. a. 1, 2, 4, 8, 16, 32
b. 1, 2, 3, 6, 11, 22, 33, 66
c. 1, 3, 5, 15, 25, 75
d. 1, 3, 9, 27, 81
e. 1, 3, 31, 93
8. a. 1 and itself
b. greater than or equal to the
number
c. 40, 50, 60, 70, 80
d. 7,
14, 21, 28, 35, 42, 49, 56, 63, 70, 77
9. Do it yourself
10. a. 32, 40, 48
b. 48, 60, 72
c. 36, 45, 54
d. 60, 75, 90
11. a. 1, 2, 3, 4, 6, 12
b. 1, 2, 4, 8
c. 1, 2, 4
d. 1, 2, 3, 4, 6, 8, 12, 24
e. 1, 7 f. 1, 5
g. 1, 2 h. 1, 5
Worksheet 2
1. a. 28, 35, 42
b. 44, 55, 66
c. 20, 25, 30
d. 68, 85, 102
2. Prime numbers: 13, 23, 31, 17, 47,
7, 19, 5, 29, 37
Composite numbers: 15, 20, 35, 99, 72, 81, 64, 58
3. a. LCM = 21
b. LCM = 12
4. 2, 3, 5, 7, 11, 13, 17, 19
5. 2
6. a. 12 b. 24
c. 84 d. 30
7. a. 3 b. 50
c. 4 d. 5
8. Multiples of 4: 4, 8, 12, 16, 20,
24, 28, 32, 36, 40
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Common multiples: 20, 40
9. a. 0 b. 0 or 5
c. even d. 3
10. a. Multiples of 4: 4, 8, 12, 16,
20, 24, 28, 32
Multiples of 2: 2, 4, 6, 8, 10, 12,
14, 16
Common multiples: 4, 8, 12, 16
b. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
Multiples of 4: 4, 8, 12, 16, 20,
24, 28, 32
Common multiples: 20
c. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
Multiples of 9: 9, 18, 27, 36, 45,
54, 63, 72
Common multiples: 9, 18
d. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
Multiples of 6: 6, 12, 18, 24, 30,
36, 42, 48
Common multiples: 30
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