(a) A factor of a number is an exact divisor of that number.

(b) Every number is a factor of itself. 1 is a factor of every number.

(c) Every factor of a number is less than or equal to the given number.

(d) Every number is a multiple of each of its factors.

(e) Every multiple of a given number is greater than or equal to that number.

(f) Every number is a multiple of itself.

**Question 1.** Write all the factors of the following numbers:

a) 24, (b) 15, (c) 21, (d) 27, (e) 12

** Answer:**

24 = 1 x 24 = 2 x 12 = 3 x 8 = 4 x 6 = 6 x 4

Factors of 24 = 1, 2, 3, 4, 6, 12, 24

15 = 1 x 15 = 3 x 5 = 5 x 3

Factors of 15 = 1, 3, 5, 15

21 = 1 x 21 = 3 x 7 = 7 x 3

Factors of 21 = 1, 3, 7, 21

27 = 1 x 27 = 3 x 9 = 9 x 3

Factors of 27 = 1, 3, 9, 27

12 = 1 x 12 = 2 x 6 = 3 x 4 = 4 x 3

Factors of 12 = 1, 2, 3, 4, 6, 12