The document explains the concepts of factors and multiples in mathematics, defining factors as numbers that divide others without leaving a remainder. It provides examples of factors and common factors, as well as multiples and common multiples, accompanied by activities for practice. Key examples include finding factors of 24, common factors of 20 and 30, and determining the first five multiples of various numbers.

1. Mathematics:
Factors and
Multiples
Identify factors, common factors,
multiples, and common multiples

2. What is a
Factor?
A factor is a number that divides
another number without leaving
a remainder.
Example: Factors of 12 are 1, 2,
3, 4, 6, and 12.

3. Example: Factors
of 24
Find the factors
of 24.
Solution:
Factors of 24
are 1, 2, 3, 4, 6,
8, 12, and 24.

4. Activity: Find the
Factors
Find the factors of the
following numbers:
1. 36
2. 48
3. 60

5. What are
Common
Factors?
Common factors are
factors that two or
more numbers
share.
Example: Common
factors of 12 and 18
are 1, 2, 3, and 6.

6. Example:
Common Factors
of 20 and 30
Find the common
factors of 20 and
30.
Solution:
Common factors
of 20 and 30 are
1, 2, 5, and 10.

7. Activity: Find the
Common Factors
Find the common factors of
the following pairs of
numbers:
1. 15 and 25
2. 18 and 24
3. 45 and 60

8. What is a Multiple?
A multiple is the product of a number and an integer.
Example: Multiples of 5 are 5, 10, 15, 20, 25, and so on.

9. Example:
Multiples of 7
Find the first five
multiples of 7.
Solution: The first
five multiples of 7
are 7, 14, 21, 28,
and 35.

10. What are
Common
Multiples?
Common multiples are multiples
that two or more numbers
share.
Example: Common multiples of
3 and 4 are 12, 24, 36, and so
on.

11. Activity: Find the
Multiples
Find the first five
multiples of the
following numbers:
1. 6
2. 8
3. 9

12. Activity: Find the
Common
Multiples
Find the common multiples
of the following pairs of
numbers:
1. 2 and 3
2. 5 and 10
3. 4 and 6