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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:

We will be using the concept of factors to solve this.

(a)Factors of 24:
We can write 24 as a product of two numbers in multiple ways:
24 = 1 × 24;
24 = 2 × 12;
24 = 3 × 8;
24 = 4 × 6
Therefore, all the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

(b) Factors of 15:
We can write15 as a product of two numbers in multiple ways:
15 = 1 × 15;
15 = 3 × 5 Therefore, all the factors of 15 are 1, 3, 5 and 15.

(c) Factors of 21:
We can write 21 as a product of two numbers in multiple ways:
21 = 1 × 21;
21 = 3 × 7 Therefore, all the factors of 21 are 1, 3, 7 and 21

(d) Factors of 27:
We can write 27 as a product of two numbers in multiple ways:
27 = 1 × 27
27 = 3 × 9
Therefore, all the factors of 21 are 1, 3, 9, and 27

(e) Factors of 12:
We can write 12 as a product of two numbers in multiple ways:
12 = 1 × 12;
12 = 2 × 6;
12 = 3 × 4
Therefore, all the factors of 12 are 1, 2, 3, 4, 6 and 12.

(f) Factors of 20:
We can write 20 as a product of two numbers in multiple ways:
20 = 1 × 20;
20 = 2 × 10;
20 = 4 × 5
Therefore, all the factors of 20 are: 1, 2, 4, 5, 10 and 20.

(g) Factors of 18:
We can write 18 as a product of two numbers in multiple ways:
18 = 1 × 18;
18 = 2 × 9;
18 = 3 × 6;
Therefore, all the factors of 20 are 1, 2, 3, 6, 9 and 18.

(h) Factors of 23:
We can write 23 as a product of two prime numbers:
23 = 1 × 23;
Therefore, all the factors of the prime number 23 are 1 and 23.

(i) Factors of 36:
We can write 36 as a product of two numbers in multiple ways:
36 = 1 × 36;
36 = 2 × 18;
36 = 3 × 12;
36 = 4 × 9;
36 = 6 × 6
Therefore, all the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

You can also check your answer using an online factors calculator.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.1 Question 1

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

Summary:

(a) The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. (b) The factors of 15 are 1, 3, 5 and 15. (c) The factors of 21 are 1, 3, 7 and 21. (d) The factors of 27 are 1, 3, 9 and 27. (e) The factors of 12 are 1, 2, 3, 4, 6 and 12. (f) The factors of 20 are 1, 2, 4, 5, 10 and 20. (g) The factors of 18 are 1, 2, 3, 6, 9 and 18. (h) The factors of 23 are 1 and 23. (i) The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36

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