| Question | Write all the factors of the following numbers (a) 24 (b) 15 (c) 21 (d) 27 (e) 12 (f) 20 (g) 18 (h) 23 (i) 36 |
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 6 |
| Subject | Maths |
| Chapter | Chapter 3 Playing with Numbers |
Question – Write all the factors of the following numbers (a) 24 (b) 15 (c) 21 (d) 27 (e) 12 (f) 20 (g) 18 (h) 23 (i) 36
Solution –
A factor is a number that divides into another number exactly without leaving any remainder.
(a) We can write 24 as a product of two numbers in following ways i.e.,
24 = 1 × 24
24 = 2 × 12
24 = 3 × 8
24 = 4 × 6
Hence, factors of 24 would be 1, 2, 3, 4, 6, 8, 12 and 24.
(b) We can write 15 as a product of two numbers in following ways i.e.,
15 = 1 × 15
15 = 3 × 5
Hence, factors of 15 would be 1, 3, 5 and 15
(c) We can write 21 as a product of two numbers in following ways i.e.,
21 = 1×21
21 = 3×7
Hence, factors of 21 would be 1, 3, 7 and 21.
(d) We can write 27 as a product of two numbers in following ways i.e.,
27 = 1×27
27 = 3×9
Hence, factors of 27 would be 1, 3, 9 and 27
(e) We can write 12 as a product of two numbers in following ways i.e.,
12 = 1×12
12 = 2×6
12 = 3×4
Hence, factors of 12 would be1, 2, 3, 4, 6 and 12
(f) We can write 20 as a product of two numbers in following ways i.e.,
20 = 1×20
20 = 2×10
20 = 4×5
Hence, factors of 20 would be 1, 2, 4, 5, 10 and 20
(g) We can write 18 as a product of two numbers in following ways i.e.,
18 = 1×18
18 = 2×9
18 = 3×6
Hence, factors of 18 would be 1, 2, 3, 6, 9 and 18
(h) We can write 23 as a product of two numbers in following ways i.e.,
23 = 1×23
Hence, factors of 23 would be 1 and 23
(i) We can write 36 as a product of two numbers in following ways i.e.,
36 = 1×36
36 = 2×18
36 = 3×12
36 = 4×9
36 = 6×6
Hence, factors of 36 would be 1, 2, 3, 4, 6, 9, 12, 18 and 36
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