NCERT Class 6 Math Exercise 3.1 Solution of Chapter 3 Playing with Numbers with explanation. Here we provide Class 6 Maths all Chapters in Hindi for cbse, HBSE, Mp Board, UP Board and some other boards.
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NCERT Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.1 Solution in english Medium.
Class 6 Math Chapter 3 Exercise 3.1 Solution
Q.1. Write all the factors of the following numbers:
A. 24
Ans. 24 = 1×24
24 = 2×12
24 = 3×8
24 = 4×6
24 = 6×4
Stop here since 4 and 6 have occurred earlier.
Hence, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
B. 15
Ans.
15 = 1×15
15 = 3×5
15 = 5×3
Stop here since 3 and 5 have occurred earlier.
Hence, the factors of 15 are 1, 3, 5, 15.
C. 21
Ans.
21 = 1×21
21 =3×7
21 =7×3
Stop here since 3 and 7 have occurred earlier.
Hence, the factors of 21 are 1, 3, 7, 21.
D. 27
Ans.
27 = 1×27
27 =3×9
27 =9×3
Stop here since 3 and 9 have occurred earlier.
Hence, the factors of 27 are 1, 3, 9, 27.
E. 12
Ans.
12 = 1×12
12 = 2×6
12 = 3×4
12 = 4×3
Stop here since 3 and 4 have occurred earlier.
Hence, the factors of 12 are 1, 2, 3, 4, 6, 12
F. 20
Ans.
20 = 1×20
20 = 2×10
20 = 4×5
20 = 5×4
Stop here since 4 and 5 have occurred earlier.
Hence, the factors of 20 are 1, 2, 4, 5, 10, 20.
G. 18
Ans.
18 = 1×18
18 = 2×9
18 = 3×6
18 = 6×3
Stop here since 3 and 6 have occurred earlier.
Hence, the factors of 18 are 1, 2, 3, 6, 9, 18.
H. 23
Ans.
23 = 1×23
23 = 23×1
Stop here since 1 and 23 have occurred earlier.
Hence, the factors of 23 are 1, 23.
I. 36
Ans.
36= 1×36
36= 2×18
36= 3×12
36= 4×9
36= 6×6
Stop here since 6 and 6 are same.
Hence, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Q.2. Write first five multiples of:
A. 5
Ans. The required multiples are :
5×1 = 5
5×2 = 10
5×3 = 15
5×4 = 20
5×5 = 25
Hence, the first five multiples of 5 are 5, 10, 15, 20, 25.
B. 8
Ans. The required multiples are :
8×1 = 8
8×2 = 16
8×3 = 24
8×4 = 32
8×5 = 40
Hence, the first five multiples of 8 are 8, 16, 24, 32, 40.
C. 9
Ans. The required multiples are :
9×1 = 9
9×2 = 18
9×3 = 27
9×4 = 36
9×5 = 45
Hence, the first five multiples of 9 are 9, 18, 27, 36, 45 .
Q.3. Match the items in column 1 with the items in column 2.
| Column 1 1. 35 2. 15 3. 16 4. 20 5. 25 |
Column 2 A. Multiple of 8 B. Multiple of 7 C. Multiple of 70 D. Factor of 30 E. Factor of 50 F. factor of 20 |
Ans. 1 – B
2 – D
3 – A
4 – F
5 – E
Q.4. Find all the multiples of 9 upto 100.
Ans. All the multiples of 9 upto 100 are as :
9×1 = 9
9×2 = 18
9×3 = 27
9×4 = 36
9×5 = 45
9×6 = 54
9×7 = 63
9×8 = 72
9×9 = 81
9×10 = 90
9×11 = 99
Hence, all the multiples of 9 upto 100 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.