Identifying Multiples of Numbers
Objective: Identify multiples of a number and the common multiples of two or
more numbers.
Finding the multiples of a number.
The multiples of a number can be found by multiplying the number and any
integer.
Example: Find the first 5 multiples of 2
First multiple of 2
=2x1=2
Second multiple of 2
=2x2=4
Third multiple of 2
=2x3=6
Fourth multiple of 2
=2x4=8
Fifth multiple of 2
= 2 x 5 = 10
First five multiples of 2 are { 2, 4, 6, 8, 10 }
Finding the common multiples of two or more numbers.
List the multiples of each number, and then look for the numbers that are common
to all of the numbers.
Example: Find the common multiples of the numbers 2, 4 and 8
Step 1: List the multiples of each number
Multiples of 2 = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24…}
Multiples of 4 = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48…}
Multiples of 8 = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96…}
Step 2: Identify the numbers that are common all 3 numbers
Common multiples of 2, 4 and 8 = {8, 16, 24}
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