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E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_05\Chap_05
\ 09-Nov-2025 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

 Multiples are numbers that come in the multiplication table of a number.

 Every number is a multiple of 1, and zero is a multiple of every number.
 The smallest multiple of a number is the number itself.
 A number which is a multiple of two or more numbers is called their common multiple.

 Factors are two or more numbers which are multiplied together to get a product.
 The smallest factor of a number is 1, and the largest factor is the number itself.

 A number which is a factor of two or more numbers is called their common factor.

Learning LOGS

1. Fill in the blanks.

a. 3 × 11 = 33; so 33 is a multiple of _________ and _________.
b. 3 × 4 × 6 = 72; so 72 is a multiple of 3, 4 and _________.
c. 3 × 7 = 21; so 3 and 7 are _________ of 21.
d. 5 × 6 = 30; so 5 and 6 are factors of _________.

2. Write the first three common multiples of 4, 6 and 8.

3. Find all the factors of the following numbers.
a. 15 b. 21 c. 48 d. 56
4. Find all the numbers between 25 and 65 whose factors are:

a. 2 b. 5 c. 10
d. 2 as well as 5 e. 5 as well as 10 f. 2 as well as 3

5. Write ‘Yes’ or ‘No’ for the following:
a. Is 246 a multiple of 3? b. Is 5 a factor of 395?

6. There are three collections of balloons, each with a number Century #Critical Thinking
21 st
written on it. Colour the balloons: Skills

• Green for numbers that are multiples of 405 2905 3438 330 1738 3240
2 only 1430 635 3225 1308 1965
• Yellow for numbers that are multiples of 565 480 882 3080
5 only 2270 1116 1940 1914 295 3894
• Red for numbers that are multiples of 2,
5 and 10.
a. b. c.

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Multiples and Factors