RBSE Solutions for Class 5 Maths Chapter 5 Multiples and Factors

Rajasthan Board RBSE Solutions for Class 5 Maths Chapter 5 Multiples and Factors Textbook Exercise Questions and Answers.

RBSE Class 5 Maths Solutions Chapter 5 Multiples and Factors

Intext Questions:

Question 1. 
Write the tables of the following numbers.
(i) 5
Solution:

(ii) 7
Solution:

(iii) 13
Solution:

(iv) 16
Solution:

(v) 18
Solution:

 
Question 2. 
Write first five multiples of the following numbers..
(i) 3    
(ii) 6
(iii) 12
Solution: 
(i) Multiples of 3 are 6, 9, 12, 15, 18.
(ii) Multiples of 6 are 12, 18, 24, 30, 36.
(iii) Multiples of 12 are 24, 36, 48, 60, 72.

Question 3. 
In this chart, mark on every multiple of 3 and mark on every multiple of 4.

Solution:

Question 4. 
Based on the above chart, answer the following questions :
(1) What is the smallest multiple of 3 ?
(2) What is the smallest multiple of 4 ?
(3) Write down the three common multiples of 3 and 4.
(4) What is the smallest common multiple of 3 and 4 ?
(5) What is the highest common multiple of 3 and 4 ?
(6) What is the first common multiple of 3 and 4, which is greater than 100 ?
(7) Write the smallest number of chart, which is multiple of atleast two numbers. Write those numbers also.
(8) Which number is the smallest multiple of 5 and 8 ?
Solution: 
(1) 3    
(2) 4    
(3) 12, 24, 36
(4) 12    
(5) 96
(6) Number greater than 100 are not included in given chart but first same mutliple of 3 and 4, greater than 100 is 108.
(7) Multiple of 1 and 2 is 2.
(8) The smallest multiple of 5 and 8 is 40.

Question 5. 
Factors of 6 :1, 2, 3, 6
Factors of 8 :    
Factor of 15 :        
Solution: 
Factors of 6 - 1, 2, 3, 6 
Factors of 8 - 1, 2, 4, 8 
Factors of 15 - 1, 3, 5, 15 

Question 6. 
Find out factors of 9 and 27, write their common factors too and identify highest common factor (H.C.F.)
Solution:

 
Exercise 5.1

Question 1.
Write down 4 multiples of given numbers.
(i) 4 
(ii) 7 
(iii) 14 
(iv) 19 
Solution: 
(i) 4 - 8, 12, 16, 20
(ii) 7 - 14, 21, 28, 35
(iii) 14 - 28, 42, 56, 70
(iv) 19 - 38, 57, 76, 95

Question 2. 
Tick only the multiples of given number by circle them.
(i) 3 - 5, 9,3, 13,18
(ii) 5 - 45,11, 10, 22, 55
(iii) 12 - 12, 36, 32, 48, 18
(iv) 15 - 25, 35,15, 40, 45
Solution:

Question 3. 
Tick those numbers which are common multiple of 3 and 4. 6, 12, 15, 18, 24, 30
Solution: 

Question 4. 
Write the multiple of 7 which lie between 10 and 30.
Solution: 
14, 21, 28

Question 5. 
Write three multiples of 4, which are greater than 25.
Solution: 
28, 32, 36

Question 6. 
2 Find out the least common multiple (L.C.M.) of 2 and 5.
Solution: 
Multiples of 2 = 2, 4, 6, 8, 10 
Multiples 5 = 5, 10, 15 
L.C.M. of 2 and 5 = 10 

Question 7. 
Find out the least common multiple (L.C.M.) of 8 and 12.
Solution: 
Multiples of 8 : 8, 16, 24, 32, 40 
Multiples of 12 : 12, 24, 36, 48 
L.C.M. of 8 and 12 = 24 

Question 8. 
Find out the least common multiple (L.C.M.) of 6, 9, 15.
Solution: 
Multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90 
Multiple of9 = 9,18, 27, 36, 45, 54, 63, 72, 81, 90
Multiple of 15 = 15, 30, 45, 60, 75, 90
L.C.M. of 6, 9 and 15 = 90

 

Exercise 5.2

Question 1. 
Find out the factors of given numbers.
(i) 7    
(ii) 9    
(iii) 16
(iv) 25    
(v) 48    
(vi) 63
Solution: 
(i) Factors of 7 - 1,7
(ii) Factors of 9 - 1, 3, 9
(iii) Factors of 16 - 1, 2, 4, 8, 16
(iv) Factors of 25 - 1, 5, 25
(v) Factors of 48 - 1, 2, 4, 6, 8, 12, 16, 24, 48
(vi) Factors of 63 - 1, 3, 7, 9, 21, 63

 
Question 2. 
Find out the common factors of given numbers.
(i) 8 and 12    
(ii) 10 and 20
(iii) 7 and 16    
(iv) 18 and 32
Solution: 
(i) Factors of 8 = 1, 2, 4, 8
Factors of 12 = 1, 2, 3, 4, 6,12 
Common factors of 8 and 12 = 1, 2, 4

(ii) Factors of 10 = 1, 2, 5, 10 
Factors of 20 = 1, 2, 5, 10, 20
Common factors of 10 and 20 = 1, 2, 5, 10

(iii)    Factors of 7 = 1, 7 
Factors of 16 = 1, 2, 4, 8,16
Common factors of 7 and 16 = 1

(iv) Factors of 18 = 1, 2, 3, 6, 9, 18 
Factors of 32 = 1, 2, 4, 8, 16, 32
Common factors of 18 and 32 = 1, 2 

Question 3. 
Find out the highest common factors of 21 and 28.
Solution: 
Factors of 21 =1, 3, 7, 21
Factors of 28 =1, 2, 4, 7, 14, 28 
H.C.F. of 21 and 28 = 7.

Question 4. 
Find out the highest number which ean exactly divides 15, 45 and 60.
Solution: 
Factors of 15 = 1, 3, 5 
Factors of 45 = 1, 3, 3, 5 
Factors of 60 = 2, 2, 3, 5 
Thus H.C.F. of 15, 45 and 60 is 5 which can enactly divides 15, 45 and 60.

Question 5. 
Find out the highest common factors of 12, 18 and 24.
Solution:
Factors of 12 = 1, 2, 3, 4, 6,12 
Factors of 18 = 1, 2, 3, 6, 9,18 
Factors of 24 = 1, 2,3,4,6, 8,. 12, 24 
H.C.F. of 12, 18 and 24 = 6.

Question 6. 
Find out the highest common factors of 15, 27 and 36.
Solution: 
Factors of 15 = 1, 3, 5, 15 
Factors of 27 = 1, 3, 9, 27 
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36 
H.C.F. of 15, 27 and 36 = 3 

Question 7. 
Two milk containers filled with 20 litre and 30 litre of milk respectively. What will be the greatest measurement of a container that can measure total milk of both container exactly.
Solution: 
Factors of 20 = 1, 2, 4, 5, 10, 20 Factors of 30 = 1, 2, 3, 5, 6,10, 15, 30 H.C.F. of 20 and 30 = 10 Thus, required container should be of 10 litre.

Important Questions:

Multiple Choice Questions:

Question 1.
First same multiple of 3 and 4 greater than 100 will be :
(a) 107
(b) 108    
(c) 109    
(d) 110
Solution:
(b) 108    

Question 2.    
Least multiple of 3 greater than 100 will be :
(a) 101    
(b) 103    
(c) 104    
(d) 102
Solution:
(d) 102

Question 3.    
Number of factors of 10 will be :
(a) 5    
(b) 4    
(c) 3        
(d) 2
Solution:
(b) 4    

Question 4.    
Highest common factor of 16 and 20 will be :
(a) 6    
(b) 5    
(c) 4    
(d) 3
Solution:
(c) 4

Question 5.    
Least multiple of 2 and 3 will be :
(a) 6    
(b) 8    
(c) 10    
(d) 12
Solution:
(a) 6    

Question 6.    
Common multiple of 3 and 5 is :
(a) 15    
(b) 16    
(c) 17    
(d) 18
Solution:
(a) 15    

Question 7.    
Common multiple of 7 and 8 is :
(a) 53    
(b) 54    
(c) 55    
(d) 56
Solution:
(d) 56

Question 8.    
Multiple of 3 and 7 is :
(a) 21    
(b) 22    
(c) 23    
(d) 24
Solution:
(a) 21    

Fill in the blanks:

Question 1.
Every number is exactly divided by all its ..................
Solution:
Multiples

Question 2.    
In the table of 7, .................. appears in 8 times.
Solution:
56

Question 3.    
28, 16, 24, 32, 40, 48, 56 all these are multiple of ..................
Solution:
8

Question 4.    
Four multiples of the number 5 are the factor of .................. respectively.
Solution:
5, 10, 15, 20

Very Short/Short Answer Type Questions:

Question 1. 
Write five multiples of 3 which
Solution: 
Five multiples of 3 greater than 20 : 
3 × 7 = 21    
3 × 8 = 24 
3 × 9 = 27
3 × 10 = 30    
3 × 11 = 33
Thus, required multiples are 21, 24, 27, 30 and 33.

Question 2. 
Similarly find common multiples of 5 and 6, which of them is smallest and also find common multiples of 6 and 12 which one is smallest.
Solution: 
Common multiples of 5 and 6 = 30, 60, 90,120,150 and 180 
Least multiple : 30 Common multiples of 6 and 12 : 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144
Least multiple : 12

Question 3. 
Write 4 - 4 multiples of given numbers.
(a) 6 ...................     
(b) 8 ...................    
(c) 15 ...................
(d) 19 ...................    
Solution: 
(a) 6, 12, 18, 24, 30
(b) 8, 16, 24, 32, 40
(c) 15, 30, 45, 60, 75
(d) 19, 38, 57, 76, 95

Question 4. 
By forming 18 multiples of 9 and 6, write common multiples of 9 and 6. 
Solution: 
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108. 
Common multiples of 9 and 6 = 18, 36, 54, 72, 90.

Question 5. 
Find common factors of these pairs.

Solution:
 

Question 6. 
Give the answer of the questions based on the following chart.

(i) Fill in tile blanks in above chart.
(ii) At which places you find 12 in chart. Draw box on these blocks.
(iii) Write, product of which numbers gives 12.

Solution:
(i) + (ii)

(ii) At which places you find 12 in chart. Draw box on these blocks.
(iii) Write, product of which numbers
1 × 12 = 12
4 × 3 = 12
2 × 6 = 12    
6 × 2 = 12
3 × 4 = 12    
12 × 1 = 12
1, 2, 3, 4, 6, 12 are required numbers.

 
Question 7. 
In the solution chart of Question 6, at which place 10 occured, write the factors of 10.
Solution:
10 = 5 × 2    
10 = 1 × 10
10 = 2 × 5    
10 = 10 × 1
In chart, number 10 find in 1, 2, 5 and 10 rows. So, factors of 10 are 1, 2, 5 and 10.

Question 8. 
In the chart, 16 occured at which places ? which are the factors of 16 ? 
Solution: 
In chart, 16 occur in 1, 2, 4, 8 and 16 line (or row).
16 = 8 × 2    
16 = 1 × 16    
16 = 2 × 8
16 = 16 × 1    
16 = 4 × 4
Thus, factors of 16 are 1, 2, 4, 8 and 16.

Question 9. 
By making table of 7 and 8, find least multiple.
Solution: 
Table of 7 = 7, 14, 21, 28, 35, 42, 49, 56,63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147.
Table of8 = 8,16,24, 32,40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168
Common multiple of 7 and 8 = 56, 
112 Least multiple = 56

Question 10. 
Encircled two common multiples of 4 and 5.
Solution: 
Multiples of 4 = 4, 8, 12,16, , 24, 28, 32, 36,
Multiples of 5 = 5, 10, 15, , 25, 30, 35, , 45, 50
Common multiple of 4 and 5 = 20, 40 

Question 11. 
Find largest number which exactly divides 30, 50, 70.
Solution: 
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 
Factors of 50 = 1, 2, 5, 10, 25, 50 
Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70 
Thus, common factors of 30, 50 and 70 = 1, 2, 5, 10
So, 10 is the highest number which exactly divides 30, 50 and 70. 

Question 12. 
Two drums are taken to fill the water having capacity of 251 arid 451. What is the measurement of largest container which can exactly measure both drums.
Solution. 
We should take container of measurement of common factor of 25 and 45.
Factors of 25 = 1, 5, 25
Factors of 45 = 1, 3, 5, 9, 15, 45
H.C.F. of 25 and 45 = 5
Thus, required container should be of 5 l capacity.