This document discusses multiples of whole numbers. It defines a multiple as the result of multiplying a number by an integer. The key points covered are: - Determining if a number is a multiple of a given 1-digit number. - Listing the first 12 multiples of a given 1-digit number, such as the multiples of 4 being 4, 8, 12, 16, etc. - Finding the common multiples of two given 1-digit numbers by listing their individual multiples and identifying the numbers that are common to both lists.

1. Whole Numbers
Multiples
What will we learn today?
• determining if a number is a multiple of
a given 1-digit number,
• listing the first 12 multiples of a given
1-digit number,
• finding the common multiples of two
given 1-digit numbers.

2. We have learnt about
FACTORS in the last lecture.

3. It’s time for us to take it to a new level.
Let’s try to learn
some new concepts today!
Multiples

4. What is a multiple?
The result of multiplying a number
by an integer (not a fraction).
In the multiplication table, we can see that
3 6 9 12 15 18 21 24 27 30
Therefore, 12 is a multiple of 3,
because 3 × 4 = 12
But 7 is NOT a multiple of 3

5. Factors and Multiples
• Factors and multiples are associated with
multiplication.
• Factors are what you can multiply to get a
number.
• Multiples are what you get after multiplying a
number by an integer.
factors 3 x 4 = 12 multiple

6. List the first 12 multiples of a
given 1-digit number
For example, “4”
The first 12 multiples are
4 8 12 16 20 24 28 32 36 40 44 48

7. What is the 8th multiple of the digit ‘4’?
The first 12 multiples are
4 8 12 16 20 24 28 32 36 40 44 48

8. What is the 8th multiple of the digit ‘4’?
The first 12 multiples are
4 8 12 16 20 24 28 32 36 40 44 48
32 is the 8th multiple of the digit ‘4’.

9. Find the common multiples of
two given 1-digit numbers
Find the common multiple of 3 and 8 which is
less than 30.

10. Find the common multiples of
two given 1-digit numbers
Find the common multiple of 3 and 8 which is
less than 30.
3 6 9 12 15 18 21 24 27 30
Step 1:
List down the multiples of 3.

11. Find the common multiples of
two given 1-digit numbers
Find the common multiple of 3 and 8 which is
less than 30.
3 6 9 12 15 18 21 24 27 30
8 16 24 32 40 48 56 64 72 80
Step 2:
List down the multiples of 8.

12. Find the common multiples of
two given 1-digit numbers
Find the common multiple of 3 and 8 which is
less than 30.
3 6 9 12 15 18 21 24 27 30
8 16 24 32 40 48 56 64 72 80
Step 3:
Circle the common multiple(s).

13. Find the common multiples of
two given 1-digit numbers
Find the common multiple of 3 and 8 which is
less than 30.
3 6 9 12 15 18 21 24 27 30
8 16 24 32 40 48 56 64 72 80
The common multiple is 24.

14. Are you ready to
try out the
questions?