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Secondary One Express Mathematics
Chapter 1 Factors And Multiples
1.1 Primes, Prime Factorisation and Index Notation
Objectives: a) To be able to recognize prime numbers.
b) To be able to express a composite number as a product of prime factors
c) To know how to represent the prime factorisation of a number in index notation
References: Textbook 1A Chapter 1.1 page 2
Workbook Chapter 1
Discovering Maths Questions Bank (DMQB)Past Years O-level Examination Partial Question
Factors And Multiples
To understand the concept of factors, take a number say 12. The number can be expressed as a
product of two equal or smaller whole numbers as shown below. Each of the equal or smaller
whole numbers is a factor of 12.
On the reverse,
1
Teachers Copy
Name: ______________________
Class: ________ Date: _________
Score: _______/40 = _______%
12 1 12
12 2 6
12 3 4
=
=
=
Each of the whole numbers
1, 2, 3, 4, 6 and 12is known as the factor of 12 because 12
is divisible by each of them to give a
whole number result.
1 12 12
2 6 12
3 4 12
=
=
=
The whole numbers 12 is the multiple of
the whole numbers 1, 2, 3, 4, 6 and 12
When a non-zero whole number is multiplied by a non-zero whole number such as
1x12, 2x6 or 3x4, the results so obtained is known as the multiple 12 of each of the whole
numbers.
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Example (Try It 1!) Solution:
Prime Numbers
Examples of prime numbers are: 2 (2 1 2) =
3 (3 1 3) =
5 (5 1 5) =
7 (7 1 7) =
Composite Number
Examples of composite numbers are: 4 (4 1 2 2) =
6 (6 1 2 3) =
10 (10 1 2 5) =
Example (Try It 2!) Solution:
2
Read Textbook1A page 2 Example 1.
Then do Try It 1 below with the teacher.
A prime number is a whole number greater than 1 that has only
two factors, 1 and itself.
Read Textbook1A page 2 Example 2.
Then do Try It 2 below with the teacher.
A composite number is a whole number greater than 1 that hasmore than two factors.
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Prime Factorisation
Example Try It 3 solution.
Index Notation
(Used to express the product of repeated whole numbers)
Example of index notation,
4
6 6 6 6 6 =
Example Try It 4 solution.
3
Prime Factorisation is the way to express a composite number as a
product of prime factors only.
Read Textbook1A page 5 Example 3.
Then do Try It 3 below with the teacher.
4
6is the index notation of6 to the power of 4,
where 6 is the base of the notation and 4 is theindex
index
base
Read Textbook1A page 6 Example 4.
Then do Try It 4 below with the teacher.
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Answers to Practice 1.1
4
Practice 1.1 (Classroom Work) based on Text Book Exercise 1.1
Please Do on foolscap paper Question 3 from page 6, Questions 4, 5, 6, 9, 11a and
13 from page 7.
Your answers to be attached to this handout.
Question 3
Question 4
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5
Question 5 Question 6
Question 9 Question 11a
Question 13
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Assignment 1.1 (To do in class and/or complete as Homework)
Answer all questions
Questions From Textbook Exercise 1.11. Answer Question 19 from page 8 2. Answer Question 21 from page 8
3. Answer Question 22 from page 8
Workbook Chapter 1 Questions
4.
(WB CHAP 1 Q1ab)
6
Question 19 Solution Question 21 Solution
Question 22 Solution
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5.
WB CHAP 1 Q2ab
6.
WB CHAP 1 Q3ab
7.
WB CHAP 1 Q4abQuestions From Discovering Mathematics Questions Bank (DMQB)
8.
DMQB CHAP 1 Q1a
9.
DMQB CHAP 1 Q2a
7
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10.
DMQB CHAP 1 Q28
11.
DMQB CHAP 1 Q30
12
DMQB CHAP 1 Q38
O-Level Examination Partial Question
13.
8
Written as the product of its prime factors, 3 2300 2 3 5= .
(a) Write 108 as the product of its prime factor.N2006P1Q8a
Solution: N2006P1Q8a
(a) 2 3108 2 3=