# Factors and Multiples

Summary of factors and multiples

Solved exercise of factors and multiples

# Summary

Multiplying two whole numbers gives a products. The numbers that we multiply are the factors of the product.

Example: 3 × 5 = 15

therefore, 3 and 5 are the factors of 15.

Example 2: What are the factors of 12?
3 × 4 = 12, so 3 and 4 are factors of 12

2 × 6 = 12, so 2 and 6 are also factors of 12
and 1 × 12 = 12, so 1 and 12 are factors of 12 as well.

Example 3:

1,2,3,4,6, and 12 then  what is 12 called with respect to 1,2,3,4,5 and 12

1×2=12

2×6=12

3×4=12

4×3=12

6×2=12

12×1=12

So 12 is the multiple of 1,2,3,4,6, and 12   Example: Which are the two numbers to be multiplied to get the product 8 ?

Factor tree

Any number can be expressed as product of two numbers . This can be represented diagrammatically by factor tree.

# Exercise 4.1

Circle the multiples of 4  with blue color,  shade  the multiples of 6 with red colour and underline the multiples of 9 with a Green color.

1) Multiples of 4

Ans:

2) Multiplies of 6

3) Multiples of 9     2. Circle the multiples of 7 in the following numbers.

3. Circle the multiples of 12 in the following

4. Write the multiples of 2 between numbers 50 and 60

Ans:       52,          54,          56,          58

5. Write the multiples of 15 between number 50 and 100

Ans:       60,          75,          90

6.Write five multiples of the following numbers

15,         17,          19,          23

Ans: 5 Multiples of 15 are 15,30,45,60,and 75

5 Multiples of 17 are 17,  34,51,68   ,85

5 Multiples of 19 are 19,38,57,76,and 95

5 Multiples of 23 are 23,46,69,92 and 115

7. Find which of the following numbers are factors of 24?

Ans: 1,            2,            3,            4,            6,            8,            12 and   24

8. Write any two factors of the following numbers

6,            18,          28,          36,          42,          48

Ans: Factor of 6 is 2 and 3

Factor of 18 is 2 and 9

Factor of 28 are 2 and 14

Factor of 36 are 3 and 12

Factor of 42 are 2 and 21

Factor of 48 are 2 and 24

9. Write  all the factors of the following number 9, 13, 20, 26, 36

Ans: Factors of 9 are 1,3,9

Factors of 13 are 1, 13

Factors of 20 are 1,2,4,5,10,20

Factors of 26 are 1,2,13,and 26

Factors of 40 are 1,2,4,5,8,10,20,40.

10. Write the factor tree for the following numbers.

a)12

b)20

c)28