This document discusses factors and multiples of numbers. It defines a factor as an exact divisor of a number that leaves no remainder. It provides examples of the factors of numbers like 6, 8, 16, and 25. A multiple is defined as a number that is the product of another number and a factor. Every number is a multiple of its own factors. The document lists multiples of numbers like 2, 3, and 15 and notes that the number of multiples of a given number is infinite. It concludes by summarizing key points about factors and multiples, such as every number having 1 as a factor and factors being less than or equal to the given number.

1. 1
FACTORS
&
MULTIPLES
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2. 2
As we can see, 6 can be written as
product of two numbers in many
ways: 6 = 1 × 6
6 = 2 × 3
6 = 3 × 2
6 = 6 × 1
1, 2, 3 and 6 are exact divisors of 6

3. 3
1, 2, 4 and 8 are
exact divisors of 8.

4. 4
7 divides 28 exactly and
gives Quotient 4 and
Remainder 0.
28 ÷ 7 = 4

5. 5
4 divides 28 exactly and
gives Quotient 7 and
Remainder 0.
28 ÷ 4 = 7

6. 6
28 divides 28 exactly and
gives Quotient 1 and
Remainder 0.
28 ÷ 28 = 1

7. 7
28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 ÷ 28= 1
1
4
7
28
FACTORS OF 28

8. 8
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
1
2
4
8
16
FACTORS OF 16

9. 9
FACTOR
A factor of a number is an exact
divisor of that number i.e. the factor
leaves remainder 0 when it divides
the number.

10. 10
4 × 5 = 20
4 and 5 are factors of 20. We can also
say that 20 is multiple of 4 and 5.
In 2 × 12 = 24,
2 and 12 are factors of 24.
24 is the multiple of 2 and 12.
So, a number is a multiple of its
factors.

11. 11
Multiples of 2 =
2,4,6,8,10,12,14,16,18,20,22,24…
Multiples of 3 =
3,6,9,12,15,18,21,24,27,30,33,36,…
Multiples of 15 =
15,30,4,60,75,90,105,120,135,……
The number of multiples of
a given number is infinite.

12. 12
FACTORS OF SOME
NUMBERS
8 = 1,2,4,8
16 = 1,2,4,8,16
25 = 1,5,25

13. 13
4 × 5 = 20
Factors Multiple

14. 14
POINTS TO REMEMBER
• 1 is a factor of every number.
• Every factor of a number is an exact
divisor of that number.
• Every factor is less than or equal to the
given number.
• Number of factors of a given number are
finite.

15. 15
• Every multiple of a number is greater
than or equal to that number.
• The number of multiples of a given
number is infinite.
• Every number is a multiple of itself.
POINTS TO REMEMBER
contd