Multiples
Multiples of a number is discussed here.
What are multiples?
‘The
product obtained on multiplying two or more whole numbers is called a
multiple of that number or the numbers being multiplied.’
We know about the whole numbers: ‘the numbers starting from 0 and having the pattern 0, 1, 2, 3, 4, 5, up to infinity, are called whole numbers.
The whole numbers minus 0 are the natural numbers.
All the natural numbers are multiples of 1.
There is no end to multiples of any number. The first ten multiples of the numbers starting from 1 to 10 are given here.
First Ten Multiples of the Numbers
In the above table we can observe the first ten multiples of the numbers starting from 1 to 10.
A multiple is the product of a number and any other number.
Understanding Multiples
1. The first multiple of a number is the number itself.
2. Every number is a multiple of 1.
3. 0 is a multiple of every number.
4. Multiples of a number are infinite (you can carry on writing them).
Multiples are really the products of the tables that you learn.
Sometimes, you learn the multiples till the 10th place or the 12th place of every number table but multiples are really infinite.
Take a look at the multiples of different numbers:
We know that when two numbers are multiplied the result is
called the product or the multiple of given numbers. For example, if we
multiply 4 and 5 the result 20 is a multiple of 4 ad 5.
Le us find the first 10 multiples of 2, 3 and 4. We multiply
the numbers by the counting numbers 1, 2, 3, 4, …. to get the multiples.
The first 10 multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16,
18 and 20
The first 10 multiples of 3 are: 3, 6, 9, 12, 15, 18, 21,
24, 27 and 30
The first 10 multiples of 2 are: 4, 8, 12, 16, 20, 24, 28,
32, 36 and 40
We can find as many multiples of a number as we like.
Common Multiple
Take a look at the multiples of 2, 3, 4, till the 10th place.
Multiples of 2 are in yellow; 3 are in orange; 4 are in light green.
When a number is multiple of 2 or more numbers it is called a common multiple.
Common multiples of 2 and 3 are 6, 12, 18 till the 10th place.
Common multiple of 2, 3 and 4 till the 10th place is → 12.
1. Find the first three multiples of 5.
Solution:
We will multiply 5 by 1, 2 and 3.
5 × 1 = 5
5 × 2 = 10
5 × 3 = 15
So, 5, 10, 15 are the first 3 multiples of 5.
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Related Concept
● Factors
and Multiples by using Multiplication Facts
● Factors
and Multiples by using Division Facts
● Multiples
● Properties of
Multiples
● Examples on
Multiples
● Factors
● Factor Tree Method
● Properties of
Factors
● Examples on
Factors
● Even and Odd
Numbers
● Even
and Odd Numbers Between 1 and 100
● Examples
on Even and Odd Numbers
4th Grade Math Activities
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