# 4th Grade Factors and Multiples Worksheet | Factors and Multiples Worksheet with Answers PDF

Get a wide range of free printable worksheets on factors and multiples that assist your child regarding the concept of factors and multiples at a 4th-Grade level. We have covered various models of questions asked on factors and multiples so that they will understand what exactly are factors and multiples. Solving the Factors and Multiples Questions and Answers will develop mental math abilities in your kid and lays a stronger foundation for further concepts.

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I. Give the first Four multiples of a given number
1. 16
2. 20
3. 5
4. 9
5. 12

Solution:

1. First four multiples of 16 are 16,32,48,64
2. First four multiples of 20 are 20,40,60,80
3.First four multiples of 5 are 5,10,15,20
4. First four multiples of 9 are 9,18,27,36
5. First four multiples of 12 are 12,24,36,48

II. Give all the factors of the given numbers
1. 24
2. 13
3. 18
4. 30
5. 40

Solution:

1. There are 8 factors of 24.
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
2. There are 2 factors of 13.
Factors of 13 are 1, 13.
3.There are 6 factors of 18.
Factors of 18 are 1, 2, 3, 6, 9, 18.
4.There are 8 factors of 30.
Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
5.There are 8 factors of 40.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

III. Find the LCM of given numbers
1. 2 and 8
2. 4 and 5
3. 12 and 15
4. 8 and 16
5. 10 and 20

Solution:

1. First write all the multiples of 2 and 8 until the least common multiple is found.
Multiples of 2 are:
2, 4, 6, 8, 10, 12
Multiples of 8 are:
8, 16, 24
Here 8 is the least common multiple.
LCM(2,8)=8
Therefore, 8 is the LCM of the given numbers.
2. First write all the multiples of 4 and 5 until the least common multiple is found.
Multiples of 4:
4, 8, 12, 16,Â 20, 24, 28
Multiples of 5:
5, 10, 15,Â 20, 25, 30
Here 20 is the least common multiple.
LCM(4,5)=20
Therefore, 20 is the LCM of 4 and 5.
3. First, write all the multiples of 12 and 15 until the least common multiple is found.
Multiples of 12 are:
12, 24, 36, 48, 60, 72, 84
Multiples of 15 are:
15, 30, 45, 60, 75, 90
Here 60 is the least common multiple.
LCM(12,15)=60
Therefore, 60 is the LCM of 12 and 15.
4. 8 and 16
First, write all the multiples of 8 and 16 until the least common multiple is found.
Multiples of 8:
8, 16, 24, 32
Multiples of 16:
16, 32, 48
Here 16 is the least common multiple.
LCM(8,16)=16
Therefore, 16 is the LCM of 8 and 16.
5. 10 and 20
First, write all the multiples of 10 and 20 until the least common multiple is found.
Multiples of 10 are:
10, 20, 30, 40
Multiples of 20 are:
20, 40, 60
Here 20 is the least common multiple.
LCM(10,20)=20
Therefore, 20 is the LCM of 10 and 20.

IV. Write the prime numbers in the given list
1.15Â  16Â  18Â  17
2. 20 23Â  25Â  27
3. 55 62Â  65Â  71
4. 80 90Â  73Â  96
5. 24 33Â  43Â  50

Solution:

1. Here 17 is the prime number.
2. Here 23 is the prime number.
3. Here 71 is the prime number.
4. Here 73 is the prime number.
5. Here 43 is the prime number.

V. Express the given numbers as the product of prime numbers.
1. 15
2. 21
3. 36
4. 40
5. 84

Solution:

1. The prime factorization of 15 is 3 Ã— 5
2. The prime factorization of 21 isÂ  3 Ã— 7
3. The prime factorization of 36 is 2 x 2 x 3 x 3
4. The prime factorization of 40 is 2 x 2 x 2 x 5
5. The prime factorization of 84 is 2 x 2 x 3 x 7

VI. Write the odd numbers
1. 2,5,8,6
2. 12,16,13,18
3. 21,28,32,34
4. 43,56,68,72
5. 60,78,81,84

Solution:

1. 5 is the odd number.
2. 13 is the odd number.
3. 21 is the odd number.
4. 43 is the odd number.
5. 81 is the odd number.

VII. Find the HCF of given numbers
1. 8,12
2. 25,28
3. 15,18
4. 20,25
5. 34,38

Solution:

1.The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
Here the greatest common factor is 4.
2.The factors of 25 are: 1, 5, 25
The factors of 28 are: 1, 2, 4, 7, 14, 28
Here the greatest common factor is 1.
3.The factors of 15 are: 1, 3, 5, 15
The factors of 18 are: 1, 2, 3, 6, 9, 18
Here the greatest common factor is 3.
4.The factors of 20 are: 1, 2, 4, 5, 10, 20
The factors of 25 are: 1, 5, 25
Here the greatest common factor is 5.
5.The factors of 34 are: 1, 2, 17, 34
The factors of 38 are: 1, 2, 19, 38
Here the greatest common factor is 2.

1. Sweets are packed in boxes of 8. Which of the following number of Sweets would fill complete boxes?
a) 10
b) 15
c) 32
d) 30
2. There are 7 pens in a packet. Which of the following number of pens form complete packets?
a) 9
b) 21
c) 25
d) 29
3. There are 10 biscuits in a packet. Which of the following number of biscuits form complete packets?
a) 35
b) 45
c) 50
d) 54

Solution:

1. 32/8=4
4 sweets can be filled in each box.
2. 21/7=3
3 packets can be formed.
3. 50/10=5
5 packets are formed.

VIII. What is the smallest number that has four factors?

Solution:

The smallest number that has four factors is 6.
Factors of 6 are 1,2,3, and 6.

IX. Find the missing digits by placing the minimum digit.
1. The number 20_is divisible by 2.
2. The number 4_1 is divisible by 3.
3. The number 3_2 is divisible by 4.
4. The number 21_ is divisible by 5.
5. The number 20_ is divisible by 10.

Solution:

1. 0
2. 1
3. 1
4. 0
5. 0

X.
1. Show the factors and common factors of 16 and 34 on the given Venn diagram.

Solution:

The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 34 are 1, 2,17, 34.
Common factors of 16 and 34 are 1,2.

2. Show the factors and common factors of 12 and 20 on the given Venn diagram.

Solution:

Factors of 12 are 1,2,3,4,6 and 12.
Factors of 20 are 1,2,4,5,10 and 20.
Common factors of 12 and 20 are 1,2, and 4.

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