This document provides instruction on factors, multiples, prime numbers, and composite numbers. It begins by defining factors as numbers multiplied to get a product. It then teaches how to identify the factors of a given number by writing it as a product of two numbers and listing all possible factors. Multiples are defined as numbers obtained by multiplying a number by counting numbers. The document contrasts prime numbers, which have exactly two factors, from composite numbers, which have more than two factors. Examples are provided to illustrate these concepts.

1. Math 4-Q2 Week 1
Identifies factors of a given number up to
100. M4NS-IIa-64
Identifies the multiples of a given number
up to 100. M4NS-IIa-65
Differentiates prime from composite
numbers. M4NS-IIb-66

2. Let’s Review!
Evaluate the following expressions. Use the rules for
the order of operations to find the value of N.
• 5 x 7 +120
• 15 ÷ 5 + 20
• 76- 8 x 9
• 9 x 5 + 50
• 60 + 45 - 10

3. • Let’s study!
James Yap earned 18
points in the first quarter of
their games. What are the
factors of 18?

4. How do you determine the number of factors of a given number?
18
Here’s how you do it:
Think of each number as a product of 2 factors.
Factors are numbers multiplied to get a product.
Write the number as a product of 2 factors.
List down the factors of that number
Number Product of 2
Numbers
List of Possible
Factor
18 1x18=
9 x 2=
6 x 3=
1, 2, 3, 6, 9, 18

5. Let’s Try!
List down the factors of the given number
Number Product of 2
Numbers
List of Possible
Factor
24
30
24X1 2x12
3x8 6x4
1, 2,3, 4, 6, 8,
12, 24
30X1 2x15
3x10
5x6
1, 2, 3, 5, 6, 10,
15, 30

6. •Factors – are
the numbers
that we multiply
to get a product

7. Next, What are the multiples of 18?
1x 18= 18
2 x 18= 36
3 x 18= 54
4 x 18= 72
5 x 18= 90
6 x 18= 108
7 x 18= 126
8 x 18= 144
9 x 18= 162
10 x 18= 180
18,36,54,72,90,108,126,144,162,180 are multiples of 18

8. •Multiples – are
the numbers can
be obtained by
multiplying it by
any counting
number.

9. Let’s Try!
What are the
multiples of 7?

10. The products of 7 multiplied by the
set of counting numbers are 7, 14,
21, 28, 35, 42, 49, 56, 63, and 70.
These products are called multiples.
The set of multiples of 7 has no end.

11. Let’s Answer!
List down the first 5 multiples of
each number.
1.9
2.12
3.15

12. Let’s Study!
How do you determine the number of factors of a given number? 17
11 40 18
Here’s how you do it:
Think of each number as a product of 2 factors.
Factors are numbers multiplied to get a product.
Write the number as a product of 2 factors.
List down the factors of that number. Study the table

13. Notice that 17 and 11 have 2 factors each. The factors of 17 are 1
and 17. 17 can be divided exactly by itself and 1.The factors of 11 are
1 and 11. 11 can be divided by itself and 1.
A number greater than 1 which can be divided exactly by 1 and itself
is a prime number. 17 and 11 are examples of prime numbers.

14. Notice that 40 and 18 have more than 2 possible factors each.
The list of possible factors of 40 includes 1, 2, 4, 5, …. The list
of possible factors of 18 includes 1, 2, 3, ….
A number with more than two factors is a composite number.
40 and 18 are examples of composite numbers.

15. • Prime number – is a number that has exactly
two factors. 1 and itself.
• Composite number – is a number that has more
than two possible factors.

16. Let’s Try!
Write and fill up the table with the correct answer.
Number Factors Prime or
Composite
a. 8
b. 7
c. 23
d. 30
e. 50
1,8,2,4 Composite
1, 7 Prime
1, 23 Prime
1, 30, 2, 15, 3, 10, 5, 6 Composite
Composite
1, 50, 2, 25, 5,10

17. Let’s Apply!
Identify the following number if it is prime or
composite?
a. 41______
b. 49______
c. 82______
d. 19_____
e. 45 _______
prime
composite
composite
prime
composite

18. Assessment!
List down the possible factors of the following
numbers.
1.) 45 _______________________________
2.) 27 _______________________________
3.) 40_______________________________
B. List the first 5 multiples of each number.
3.) What are the first 5 multiples of 3? _____, _____,
_____, _____, _____
4.) What are the first 5 multiples of 5? _____, _____,
_____, _____, _____