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example 3. Check if 8 is a factor of:

a. 24 b. 36
Solution. A factor of a number is a perfect divisor. That means, it divides the given
number without leaving any remainder. By long division, let us check if the remainder
is zero.

3 4
a. 8 2 4 b. 8 3 6
– 2 4 – 3 2

0 Remainder 4 Remainder

Since the remainder is 0, Since the remainder is not 0,
8 is a factor of 24. 8 is not a factor of 36.

Exercise 5C

1. Colour the factors of the central number.

a. 9 10 b. 9 10 c. 9 10
1 1 1
16 8 2 11 16 8 2 11 16 8 2 11
7 30 3 7 20 3 7 32 3

15 6 4 12 15 6 4 12 15 6 4 12
5 5 5
14 13 14 13 14 13

2. Colour 24 cells so that they form a rectangle. Find the multiplication fact for each.
Then, list the factors of 24 using these multiplication facts. One has been done for you.

(4 × 6)

3. list all the factors of:

a. 45 b. 56 c. 72 d. 39 e. 13

86 Mathematics 4